Pith. sign in

Paper Citation Record · LEDGER

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor

As of 12 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2412.11848.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.11848 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:38:01.551187Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

  • verified exact0
  • verified fuzzy45
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 68269a67-3bfb-4def-8f59-7a194d4c54db · outbound

This paper cites (1974) ‘Black hole explosions?’,Nature, 248, pp.30-31.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1974) ‘Black hole explosions?’,Nature, 248, pp.30-31

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.238771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.346153Z digest=sha256:d1ff1bedf5ee45cd1ac1be65d030cc3623830a958a5efc69ff3699f95f1129c0

Observation 441dcd4b-b0c1-4657-abb9-645af2af3de0 · outbound

This paper cites (1975) ‘Particle creation by black holes’,Communications in Mathematical Physics,43(3), pp.199-220.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1975) ‘Particle creation by black holes’,Communications in Mathematical Physics,43(3), pp.199-220

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.228032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.350518Z digest=sha256:94867a2cd02f13bc922ed98db137a6bc05d5f6654a58e8d3d5aae6c085bb4776

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.216928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.355041Z digest=sha256:e6ad3b756bcd31a05a5a996c8532ac6db2c6a411183fa63226ddadd380989e8c

Observation f0dd909b-22d7-43e4-b62d-66f30f0e8b1c · outbound

This paper cites (1975) ‘Quantum field theory in Schwarzschild and Rindler spaces’,Physical Review D, 11(6), pp.1404-1423.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1975) ‘Quantum field theory in Schwarzschild and Rindler spaces’,Physical Review D, 11(6), pp.1404-1423

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.206698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.359075Z digest=sha256:ad57e8a581a31021173b0f435130bfa82a8fe470360a88c9ebef5a6365595426

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.196100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.363336Z digest=sha256:0ccda4d3dde2c8b99bf1b74538823fa4a59f263baa44c23eb2d22fc5510e19fd

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.186347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.367358Z digest=sha256:dc97877f927c419160446ea0157ac97a49e1f6e1258ab515013253d89e8e4fba

Observation 31626af1-88a1-4dae-a7bc-048219affe0f · outbound

This paper cites (1983) ‘The energy-momentum tensor near a black hole’,Communications in Mathematical Physics,89, pp.103-115.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1983) ‘The energy-momentum tensor near a black hole’,Communications in Mathematical Physics,89, pp.103-115

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.175850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.371573Z digest=sha256:1b88e64b681fa832a61991e7e9bbcef3db72be7bae05c22974490d72b0f63487

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.164522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.375186Z digest=sha256:d7cfe59f0727b610e34fd61d608af77b405d99c0ba2642c51bc091ebc376adca

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.153314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.378484Z digest=sha256:949b8794619a8c51c00e3fa31e8890542846bc0d1fc13fe40823bbf9180c4c0c

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.141725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.382018Z digest=sha256:4da004f937576fd245892036cf4491e2e731d69102cf2c4bf9c18236ad223a8a

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.130874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.385570Z digest=sha256:248c01d74cf108128819b92de87f8eaa27e3ec11fd0d2fa65fde98927da7172a

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.120690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.389293Z digest=sha256:68c98c3740231c231ac86d5967b9c972e119e7909c82b8a464f9fc0f550a4eb9

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.109632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.392213Z digest=sha256:34fb5baa7baf247cde32ebd70c21a5c318cd8f5147e4b1ab6db1746e96cbd347

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.098958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.395342Z digest=sha256:30cd6600b21069452f352e895d8a9d707ebfa71ad262dc8f8e843f8657b2d6bd

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.088133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.398581Z digest=sha256:eea470027bdd3dc58d6f82a775d3d2750cda877d79eff8353ea480acab6deea9

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.077308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.401655Z digest=sha256:423cd335a67d74000508df62d33b46148aecb6022d3cac34893044b3f3bec64b

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.066580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.404789Z digest=sha256:e8c9eb6f258c97cfc276c8b6f4cf69d3356a7b061421f3ba6a4dabe4a07595c1

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.056950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.408097Z digest=sha256:ac6473c7c03ef4c7a905fd1ad068deb71fad115e5f08a42ed3f5968040f2e9c1

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.046848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.411364Z digest=sha256:f947d231f28e9dced5ba746571fb534fd49495796cca0667981856816c892c34

Observation 7d2a874d-a64a-4518-b809-7fdedf14b2c8 · outbound

This paper cites (2017) ‘Renormalized stress-energy tensor for stationary black holes’,Physical Review D, 95(2), 025007.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (2017) ‘Renormalized stress-energy tensor for stationary black holes’,Physical Review D, 95(2), 025007

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.036457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.414810Z digest=sha256:564e14101630d783b6b3e72ed509a9a22e5145ddf7d1e079856822804c1d7978

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:02.025456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.417841Z digest=sha256:e66a8cf63fecf9096c49e06beae4eb23a3490cf93b3544c7eb5b5dce68450595

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.013418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.421367Z digest=sha256:a4c54daff35866c9569d268179278d893bc3d30f1672a8853bcb3dcc2e9cbf89

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:02.001325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.424944Z digest=sha256:1bbf496ba8155fbdbd7cfd7158037bd449ae97ec1cf09cac3e956dcfdc2845cd

Observation 5c4b7357-0924-4c84-bfb1-97201f26c39b · outbound

This paper cites (1981) ‘Models of evaporating black holes.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1981) ‘Models of evaporating black holes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.989058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.428549Z digest=sha256:3aa6872b3ad6d49e16ac2e6ef41e37a1e3c7e6224fdd4e8337fc6e8296d14c1e

Observation 39f834e9-a901-46a5-b410-21b1b9416cc8 · outbound

This paper cites andNavarro-Salas, J.(2005).Modeling black holeevaporation.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor andNavarro-Salas, J.(2005).Modeling black holeevaporation

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.977295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.432246Z digest=sha256:6cd785aaff868e6a9f504cc0db49c9ccd843b571daa47af14e5f062d1167281b

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.965121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.435794Z digest=sha256:223a3a42d4d8ab71889486b41ffc7e4752a51c106200eff677619ed5eed5b8cc

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.953679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.439321Z digest=sha256:e7c6f96ea761f39ea46ea5e89f6c2038ab32b9cb77fff10f2808f96d6b4c15f6

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.942118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.443152Z digest=sha256:d74d1b8c4b71b60bf8a85aa486e285b5cf63b4fcdbc4b1d7ee11a5fd77c24ee5

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.930200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.446639Z digest=sha256:f06cc2848eea1d2280fe06f2b7b9480b16b0c42f5993cbe90d71b38b9816b553

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:01.919465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.450170Z digest=sha256:ee02e93fc777ba614258cce2de59b9ff4ee0a462297494224746315677a7adac

Observation 25edbe30-26b2-41aa-bea4-8b84e0c8dc3b · outbound

This paper cites I: Empty space’,Progress of theoretical physics, 83(5), pp.941-952.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor I: Empty space’,Progress of theoretical physics, 83(5), pp.941-952

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.908132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.453812Z digest=sha256:984c5bff54a50c696d17d17b6f20ed68d8ef0d67363d3805e533b868a601e212

Observation 85f28ff4-1ccb-4af4-a0b0-f362fd3247cc · outbound

This paper cites II: Space with a Collapsing Star’,Progress of Theoretical Physics, 83(6), pp.1126-1139.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor II: Space with a Collapsing Star’,Progress of Theoretical Physics, 83(6), pp.1126-1139

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.896924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.457418Z digest=sha256:1c87b5e4266d9c214fb625f6f77fd2aacea1cd19e0bb64e4c3ee02083abc1f89

Observation 2eaaa78c-d016-49b2-a411-c6ab770607c5 · outbound

This paper cites (1976) ‘Thermo-field dynamics of black holes’,Physics Letters A, 57(2), pp.107- 110.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1976) ‘Thermo-field dynamics of black holes’,Physics Letters A, 57(2), pp.107- 110

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.885099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.461333Z digest=sha256:89aca180b6b0d74df36cbdd2f290f5a3e8e74371a82f5b74e96f4a71f17ef943

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.872229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.464925Z digest=sha256:89d6d35421e4c7b70c88ec2383db8f367d403b7609844edea9229fed5c4b2fb8

Observation 381ecb03-769f-4254-83da-b8c72031ede9 · outbound

This paper cites (1977) ‘Alternative vacuum states in static space-times with horizons’,Journal of Physics A: Mathematical and General,10(6), pp.917-951.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1977) ‘Alternative vacuum states in static space-times with horizons’,Journal of Physics A: Mathematical and General,10(6), pp.917-951

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.859969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.468747Z digest=sha256:4b84b4ab7af96cd4429a1c60645802e49049de21089c9712f9b81a317c8c0c15

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:01.847691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.472818Z digest=sha256:26202c30b8fcaef1ef803995c410dcc77db586a344a3fb69bc092167bcea6c35

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.835334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.476514Z digest=sha256:ed5d4b9c51d4d26bfad92d0df9e381450450389ff68966b9f55c25d475b83255

Observation d31eddc3-b47c-4e9c-b06b-b8974e51cec3 · outbound

This paper cites (1999) ‘Late time dynamics of scalar perturbations outside black holes.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1999) ‘Late time dynamics of scalar perturbations outside black holes

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.823124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.480372Z digest=sha256:277343c8bd5b54e3680b0788248c6d38cbb6e7166df7ce6ef09b58da1daf09da

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.810554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.484193Z digest=sha256:a16d46be91d37a13123663df9f23a55e02c5d69b5fc85a7c19f573a49b259952

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:01.797925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.487876Z digest=sha256:4e855f9948882778b58b9935b477ede408f6a34789be7f8c24c9677cd37eb4b9

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.786238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.491687Z digest=sha256:8b86de10ca66ff4a24073286fcecf2b1fe2f3500995ed9eb352551e86e60453d

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:01.774265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.495541Z digest=sha256:d31902ad6bfedf1b0d107fc389c8f8a79f5bc52c2c0aecf969da11e5f999c9de

Observation 27a96767-9192-4270-8ca0-2319601069e0 · outbound

This paper cites (1984) ‘The Gospel according to DeWitt’, S.M.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1984) ‘The Gospel according to DeWitt’, S.M

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.762226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.499426Z digest=sha256:fb0a420a4d356ef75ceb6e5a2de7acf726e55a5104dd23f60bf73a55e1e8a488

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.750686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.503036Z digest=sha256:cbdedb2f4026960d31cd9fa3d88eb8c187f9036c771e3be6b807154bce8bc7a7

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.738668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.506813Z digest=sha256:f6ff31576db0a10d8e84aa9d11c0450de55ee0d4afdc5eb4c446a0f31db8f7c7

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.727383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.510692Z digest=sha256:b824106aa2b36b45967a689d0666578265fa25ec93b78cbb1a72e2efa9ae1763

Observation 75b99b8b-04ce-4423-a56c-aeb66e046f89 · outbound

This paper cites (1983) ‘Vacuum polarization near a black hole creating particles’,Physics Letters A, 94(5), pp.205-209.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1983) ‘Vacuum polarization near a black hole creating particles’,Physics Letters A, 94(5), pp.205-209

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.715168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.514515Z digest=sha256:6d875444723a58bad1c6e689892c021300ab72100472924bb8a0b0d6bd1803c6

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.701950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.518431Z digest=sha256:ac9c85767504e4cf3f58b0d98801f2f2312e0ebe373724e3f86ebb9ebdad5e2f

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.690157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.522346Z digest=sha256:b0bd8ea9d5b72f1b5201d407c419791784932f4293a6fdac591d8d3a33eb71c5

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.677814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.526334Z digest=sha256:300b2b8309fe9623961a63099cebd57078308028d70156453f80e7326f915601

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.666049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.530470Z digest=sha256:c5472e726e7a81df5477e143c876d4b5a3f821b63043ab0e82ea49020eee1074

Observation ad161f75-9ff6-48a9-8e95-e3d02d15ec5a · outbound

This paper cites (1976) ‘Vacuum expectation value of the stress tensor in an arbitrary- curved background: The covariant point-separation method’, Physical Review D, 14(10), pp.2490-2501.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1976) ‘Vacuum expectation value of the stress tensor in an arbitrary- curved background: The covariant point-separation method’, Physical Review D, 14(10), pp.2490-2501

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.653258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.534214Z digest=sha256:11bc70984b5caa76ec7ee3fed4196a3c769a3b4890cce54f81d29c9eff437c74

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:38:01.638016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.537731Z digest=sha256:fe8bbf58ba0031f8ef523d18f684b5b67e2b7a672c18130c23a53a70cd613c93

Observation eda6271e-e757-4726-b3f1-8e1a8c799bf7 · outbound

This paper cites (2016) ‘Lagrange inversion’,Journal of Combinatorial Theory, Series A, 144, pp.212-249.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (2016) ‘Lagrange inversion’,Journal of Combinatorial Theory, Series A, 144, pp.212-249

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.624764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.541241Z digest=sha256:5b585e344533d1046c180d6b49217fe1f83f2fd351d2e6b452756025611282f3

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.611795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.544511Z digest=sha256:5d7834ed87d768c7c2fa87c57b201cb9b97388d96b96bf07fd606923695d25a8

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.599109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.547784Z digest=sha256:a47ae12953cd036cbf4ef73856a78d5bf3c50f7fab1cb242ff5e27d3fe634f50

Observation 0878950b-688a-4600-96e6-9d78d437d5aa · outbound

This paper cites (1986) ‘Spectral decomposition of the perturbation response of the Schwarzschild geometry’,Physical Review D, 34(2), pp.384-408.

Solutions to the mode equation for a quantized massless scalar field outside a black hole that forms from the collapse of a null shell: Late-time behaviors and computation of the stress-energy tensor (1986) ‘Spectral decomposition of the perturbation response of the Schwarzschild geometry’,Physical Review D, 34(2), pp.384-408

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:38:01.585910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:38:01.551187Z digest=sha256:f7752ade412bd7e5354a627f4cde8472eafbf92d60f2b36494c586913ab8f60c

Pith citing papers

No inbound Pith citation observations are available.