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Paper Citation Record · LEDGER

Unconditional wave decay in dimension two

As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2507.03140.

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

pith.paper-citation-record.v1
2507.03140 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:29:42.230062Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:00:43.707046Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7dd85b63-b9b2-4a6a-afe4-08d8a6df69c2 · outbound

This paper cites Efficient time-domain scattering synthesis via frequency-domain singularity subtraction.

Unconditional wave decay in dimension two Efficient time-domain scattering synthesis via frequency-domain singularity subtraction

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T20:29:39.388249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:29:39.388249Z digest=sha256:65e030e92ac31fe3d8324d4749c3ff12972ca6bfe5b71ffbda5529640b51eeaf

Observation 547aefd9-46b8-46d5-a3bb-aa6bb5f0fc41 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:47.998270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.457877Z digest=sha256:cc5b52a6459ffecc922071757fe5a7760ce117c88f7636a54424e0092066f473

Observation 30d81d4c-7557-45b6-8bd5-c8a2d4553345 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:47.814516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.513805Z digest=sha256:d4a535a96aacb3020dba110738269c931fb1ffcf367e25beb2118c532335fbfe

Observation 4b717282-270f-40e8-b52b-f12479589b25 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:47.584297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.622629Z digest=sha256:7347d7cf4372419540b6e4635aef0459e5ddd204c22100469bba68ef76889dc0

Observation 7a19e3d9-1b19-4d6b-9b11-e4be71841987 · outbound

This paper cites Persistence and disappearance of negative eigenvalues in dimension two.

Unconditional wave decay in dimension two Persistence and disappearance of negative eigenvalues in dimension two

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:29:42.830080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.753154Z digest=sha256:a36272d2d316f13a9d55c94c1f809da9c95ce70b9e9fc3a9bb45d68298fd5aca

Observation 21618cc5-eeef-4b32-840b-14d5fa334e21 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:47.289826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.823147Z digest=sha256:287f11d3c395cdd540bce47121f667c4c75af948c25877c4d2d2f7c363ccbac5

Observation 0fc6ef62-d915-454f-b663-81d9f715a1c1 · outbound

This paper cites Dafermos and I.

Unconditional wave decay in dimension two Dafermos and I

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:47.136238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:39.940947Z digest=sha256:6760f1f83bdc9d6972095e898dad6b433fd63ad3c21fbe53dc39d9d2435fb0cb

Observation 10358ba9-7880-42d9-9ec8-f28217cb900f · outbound

This paper cites Datchev, J.

Unconditional wave decay in dimension two Datchev, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.997251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.060871Z digest=sha256:f528d68beedc4786b7533eb4e599ee9ace20510636b1dd59d05a47e801c5d445

Observation 2f5ae6ac-0d38-41ea-a4e1-b6fceb7d7dcd · outbound

This paper cites Datchev, J.

Unconditional wave decay in dimension two Datchev, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.844817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.135442Z digest=sha256:b64e2317d95ba24e765342a97b69db71e9b237b813c2e7c893f219423da9aa3c

Observation bebde347-3ca4-4237-ba10-8c330ca6cee3 · outbound

This paper cites http://dlmf.nist.gov/, Release 1.1.8 of 2022-12-15.

Unconditional wave decay in dimension two http://dlmf.nist.gov/, Release 1.1.8 of 2022-12-15

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.670608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.214004Z digest=sha256:c298b3667d20a44c87acc71c6f00f9c476d2e00cb8e59abb82b99d9fcf5e24f5

Observation 48728b4f-6dec-4b47-a89e-a7e275fc1e79 · outbound

This paper cites Dyatlov and M.

Unconditional wave decay in dimension two Dyatlov and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.495275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.284919Z digest=sha256:a6bba72ef3a505d80d06a8ef8e5058571111f301bbb2cbbde3eac78eb8d382ce

Observation 34d1b862-2fa3-4f14-af15-f4eafe0050ae · outbound

This paper cites Galkowski, and H.F.

Unconditional wave decay in dimension two Galkowski, and H.F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.348376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.370142Z digest=sha256:b92ea1ffe2aa7ce71a9ee6eb90511f8353ff5facd7cf0c973e08d58785258d65

Observation d0352a69-0f41-498a-a049-03d6a0bc0597 · outbound

This paper cites Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations.

Unconditional wave decay in dimension two Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T20:29:40.471776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:29:40.471776Z digest=sha256:a0d1e7aac700f23ab8fc1974dbb3acb603039598d7991dec4755048eea4d1c28

Observation aea76535-0fee-43d1-82af-309de86e680e · outbound

This paper cites Grasselli.

Unconditional wave decay in dimension two Grasselli

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.159165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.557655Z digest=sha256:328b3b6045c4eae652f2b4ba3836ca6e26b68a8794d56a4871510c7c8479389d

Observation c13a8423-58f5-471b-9a4d-10f3af5f494e · outbound

This paper cites Linear waves on asymptotically flat spacetimes. I.

Unconditional wave decay in dimension two Linear waves on asymptotically flat spacetimes. I

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T20:29:40.633809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:29:40.633809Z digest=sha256:7768fe412750a561d7bbf25af2a59dcc10b8f4a929a98c6d3a8cfd846a9e2403

Observation cf3db946-aadb-4dd9-a095-a72ddb5181a4 · outbound

This paper cites Hintz and G.

Unconditional wave decay in dimension two Hintz and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:46.028042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.711851Z digest=sha256:20ab682797d4cc6fcadaeeb4af1b9100fcac6356d93bfd18c68b071141cbe2d2

Observation 93c7443e-690e-44e4-9a19-c16673842d7c · outbound

This paper cites Holzegel and J.

Unconditional wave decay in dimension two Holzegel and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:45.872654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.790652Z digest=sha256:afc4ff93bb97cf00c1e294712889d58967896bde1426f5ccad2b43ee14a0369f

Observation 749f001f-750f-4a21-b54b-4b1453c756a8 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:45.742202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.866732Z digest=sha256:796060c899a57a8324acf567bc965e6e5122f551d231e1e52c96798b38fddd31

Observation f658c31f-e685-4348-906f-b90595610833 · outbound

This paper cites Klainerman.

Unconditional wave decay in dimension two Klainerman

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:45.605787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.942471Z digest=sha256:520abbbbbe6581dbae55f6f068d7ef6c10f1c455fff01f15cfc77a214c3a11c2

Observation 89cea6e9-0924-46af-881c-0792fb443969 · outbound

This paper cites Exponential local energy decay of solutions to the wave equation with $L^\infty$ electric and magnetic potentials.

Unconditional wave decay in dimension two Exponential local energy decay of solutions to the wave equation with $L^\infty$ electric and magnetic potentials

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-10T02:08:58.980268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:40.987936Z digest=sha256:1e1fe2e3bd2ce081d0abf7c4bb210994d500f8c8bcacbcaf6c1683d2ba45fa37

Observation e5152173-0854-46d9-b66c-9406f7b97bb4 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:45.460652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.121851Z digest=sha256:b5af1f3bf1c788f0def777dd2e16cfd2a1610f24761b9872db114638faa1c932

Observation 6f309b3b-fc18-467b-a6a6-3394da731a14 · outbound

This paper cites Le Rousseau, G.

Unconditional wave decay in dimension two Le Rousseau, G

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:45.292194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.247872Z digest=sha256:a033621502625ad5b0b08d606aa2e0ed9d62ce270808f639cd796a0bbed3805a

Observation 26eb9bf8-833f-492a-a027-296aa9999f22 · outbound

This paper cites Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions.

Unconditional wave decay in dimension two Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T20:29:41.375497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:29:41.375497Z digest=sha256:6d8bee1b57513c1beb8bc90b401f6dbae6923aa11f62787790974752abdfa486

Observation 718e8d32-b393-42c9-ba73-c625b01703d0 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:45.079826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.530458Z digest=sha256:f0d117b3454bed849b643bbea77a91299cd0397b8cc521b9efff037e15e66f60

Observation e541fee6-a73f-4352-b38e-d26be5060fff · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:44.837173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.609949Z digest=sha256:e8c8d9b249dd9a3a08a3c9fbc288ffaf2c3640b1bc56c554f6bdc0d194e53c59

Observation a16f3787-2ee9-4f5b-b26a-d448121948a5 · outbound

This paper cites Moschidis.

Unconditional wave decay in dimension two Moschidis

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:44.508842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.671143Z digest=sha256:4bbf76f46740fdb61a9d99732300a028f99130cc014371476951fe785abbab31

Observation fad0b95d-a078-4b75-8515-38da11e93f4c · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:44.178654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.729420Z digest=sha256:1f22283b0ad48d0eecc8dd0db46038ea123e02eadfa0921313b311af56cb1723

Observation 76ccb698-4c1c-4c7b-8a15-41559cac25b3 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:43.845269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.787528Z digest=sha256:534ca4f9b10075932efdd8c3994f323df9283204a5075bbee903d4a993553cdb

Observation 19e2f28c-d6c1-4590-aa32-f988db897e93 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:43.539959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.843122Z digest=sha256:5f03b45bcba371892457112140e2703b5f53adf17f227adb669aaac57f86492b

Observation 0384ec3a-e3b2-41b3-892e-3696de347d6a · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:43.314924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.920248Z digest=sha256:a8bf235f833949926141fa4c02082fc04b3590446782611366c8eefb49578386

Observation 65537418-d7e8-4d5d-b91f-c803c800405e · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:43.257251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:41.988023Z digest=sha256:c4089a5122fb905fae1d7de40733981d0c5493a5d66c991f46903c80c8845170

Observation 33c139b8-7a50-4a32-95d2-93f11833ef02 · outbound

This paper cites Vainberg.

Unconditional wave decay in dimension two Vainberg

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:29:43.116627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:42.080402Z digest=sha256:6d7792962f3fa2c0ecba51df09dd6c82680fe252faa88d92f1d1e63b7240afcb

Observation ce1300fc-7b65-4096-a480-64dfefbf6033 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:29:42.966475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:42.158771Z digest=sha256:ded4e6735310083a5b04985f84dd52852fb9132fc11e7b08c73f688313e5fa22

Observation b711f861-862e-446e-9b6e-e50573d94564 · outbound

This paper cites an unresolved cited work.

Unconditional wave decay in dimension two Unresolved cited work

Reference 34

Resolution
verified exact
raw_fallback, observed 2026-08-06T20:29:42.429350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T20:29:42.230062Z digest=sha256:8636a184821041d1d1aa4167aad23df620837ffe3cf4df022267d991f31b738c

Pith citing papers

Observation 70f885e4-303e-4d66-8385-48d114d680d7 · inbound

Logarithmic wave decay for short range wavespeed perturbations with radial regularity cites this paper.

Logarithmic wave decay for short range wavespeed perturbations with radial regularity Unconditional wave decay in dimension two

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T20:00:43.707046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T20:00:43.707046Z digest=sha256:8792700edb270529c474c6f5dece454775a53c22a1a4702737f04681eed7dc46