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Paper Citation Record · LEDGER

Two-point functions and the vacuum densities in the Casimir effect for the Proca field

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.07267.

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

pith.paper-citation-record.v1
2507.07267 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T05:08:00.273552Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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  • verified fuzzy30
  • unresolved1
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External citation measurements

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Outbound references

Observation 381c9e99-0629-43ad-86da-4dbda314dc80 · outbound

This paper cites Mostepanenko, N.N.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Mostepanenko, N.N

Reference 1

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raw_fallback, observed 2026-05-19T05:12:59.926723Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:a24c1715e66284764ca7541394145f106d89a4044630330a4cfb82a83dbcd13a

Observation 4ae485f0-571b-44df-a4c3-6ccff0e893c7 · outbound

This paper cites Milton, The Casimir Effect: Physical Manifestation o f Zero-Point Energy (World Scientific, Singapore, 2002).

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Milton, The Casimir Effect: Physical Manifestation o f Zero-Point Energy (World Scientific, Singapore, 2002)

Reference 2

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raw_fallback, observed 2026-05-19T05:12:59.894071Z

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source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:22ecb86ae6647fa0c4a2e3978a8b61eb606645dbbd9b7e879ffc0624bab01218

Observation 9ca50ffa-d640-46ba-8321-e5fbc29a4dec · outbound

This paper cites Bordag, G.L.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Bordag, G.L

Reference 3

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source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:e3c4d77625339310600ff1f1870846c93ca88dddc69d5b7afac3bb0b3d3d12e9

Observation 7420d4f4-49c6-4bb1-91a8-c8af0b5e72eb · outbound

This paper cites Dalvit, P.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Dalvit, P

Reference 4

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raw_fallback, observed 2026-05-19T05:12:59.930356Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:e70c8ed01353450c86ab5c6c183a008b52b173f20783d560190576ea3004ade0

Observation f9f92e73-c93e-44bc-971d-d6f303bf4589 · outbound

This paper cites Saharian, T.A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Saharian, T.A

Reference 5

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:b9ebace191c0a0a3bf215159ed29cebc5ed9d24971658919f2eaa18d865b9d4e

Observation 5a872522-9413-4143-bc51-90a959a326ff · outbound

This paper cites Elizalde, A.A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Elizalde, A.A

Reference 6

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.901713Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:a6694e8ed90b39016d3d9005889c6f09638e6be11ee73b7d3c127b0c026c8f9e

Observation 9efc4a11-ce5d-4b7d-8425-b6b5e0efd801 · outbound

This paper cites Milton, A.A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Milton, A.A

Reference 7

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raw_fallback, observed 2026-05-19T05:12:59.905182Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:7668c6c4fb607373c637c3a00b1075472f1170fd8c250812c72848cf61df8d1f

Observation 27e0055a-f4a1-49d1-9fb6-9d3d84ec7d50 · outbound

This paper cites an unresolved cited work.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:eeb4ccec5676bf117056d4dcdac3b0d5b21d3dc43e60a6566fd4728a301dc55e

Observation ce9b7937-0674-4cc4-b200-97321b1960f3 · outbound

This paper cites Goldhaber, M.M.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Goldhaber, M.M

Reference 9

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.933632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:0027bd9286252d70a57b25fd6ea457f556afcbd79c68153fe3217350c563d541

Observation 15a33021-6553-466b-b0a8-236180f81e12 · outbound

This paper cites Proca, Sur la th´ eorie ondulatoire des ´ electrons positifs et n´ egatifs, J.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Proca, Sur la th´ eorie ondulatoire des ´ electrons positifs et n´ egatifs, J

Reference 10

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raw_fallback, observed 2026-05-19T05:12:59.937371Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:6aa885db10b98739ef752f8727dcc0ffa090b0c7786da5737adccfd5c337643a

Observation bcd4cb43-fafd-4aef-8a03-0ac55289c5bc · outbound

This paper cites Stueckelberg, Interaction energy in electrody namics and in the field theory of nuclear forces, Helv.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Stueckelberg, Interaction energy in electrody namics and in the field theory of nuclear forces, Helv

Reference 11

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.898120Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:97b485d2a698a50e1c6450d5204ef09696dabaac1735f5b22cc64946994e7b33

Observation 87587232-710f-4936-b55d-880dc4f0d4f2 · outbound

This paper cites Stueckelberg, Interaction forces in electrody namics and in the field theory of nuclear forces, Helv.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Stueckelberg, Interaction forces in electrody namics and in the field theory of nuclear forces, Helv

Reference 12

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.886609Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:1cccffa35f539cce3351db3faf533845ace7463e2cb6413057b5a18e27c8c217

Observation 45ee7742-63d6-4d1a-99b2-dcb1d0d0293c · outbound

This paper cites Ruegg, M.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Ruegg, M

Reference 13

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raw_fallback, observed 2026-05-19T05:12:59.940979Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:880d1e1186976c9cd803629f941630917532b7a52fb76b6e4cd4b682fc2519a3

Observation 4ef0e0eb-c379-4f92-9035-f5ac3692f951 · outbound

This paper cites Davies, S.D.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Davies, S.D

Reference 14

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raw_fallback, observed 2026-05-19T05:12:59.951287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:807c28ddfd35de2ee100632b3f77ffed6f378b46ddadb19bab3dfb73e59a351a

Observation 97a88133-a7b2-4de1-a6e7-b342ed642518 · outbound

This paper cites Barton, The Casimir effect with finite mass photons, Ann als Phys.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Barton, The Casimir effect with finite mass photons, Ann als Phys

Reference 15

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.922750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:92ee5dac8dab333dd381eff19b2c41f0785b5f30fa8c52f841c83886fdc9992a

Observation 7456cd14-c1c3-48b1-a8fd-32240be1339d · outbound

This paper cites Teo, Casimir effect of massive vector fields, Phys.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Teo, Casimir effect of massive vector fields, Phys

Reference 16

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.948044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:a732480bd03eecb89c80b5f7ad682e5db36d7c35b5419835c72b8fd3de40e536

Observation 07e2820f-2634-4076-ada2-54b14ff36811 · outbound

This paper cites Teo, Zero and finite temperature Casimir effect of mas sive vector field between real metals, J.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Teo, Zero and finite temperature Casimir effect of mas sive vector field between real metals, J

Reference 17

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raw_fallback, observed 2026-05-19T05:12:59.890728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:362815c3e349af2ce65e2c0af18f91e46320b44150beb584efa7ff99e2d79193

Observation 77d92338-9939-47be-8296-3856f866535d · outbound

This paper cites Teo, The Casimir interaction of a massive vector fie ld between concentric spherical bodies, Phys.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Teo, The Casimir interaction of a massive vector fie ld between concentric spherical bodies, Phys

Reference 18

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raw_fallback, observed 2026-05-19T05:12:59.882849Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:6cc55cee1ccae54d8aa8169f5b2984b79d30b20cdb6da4dd4915b504b475672f

Observation b6679dc7-4f7f-4468-936b-e0c02a04bb72 · outbound

This paper cites Mattioli, A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Mattioli, A

Reference 19

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raw_fallback, observed 2026-05-19T05:12:59.866583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:167c95dd5f391b873283c008765f3db51d668eec0aebbf6b09598ac27c81e574

Observation 6258e3bc-ad44-487a-aac3-5ebe29b79a33 · outbound

This paper cites Edery, V.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Edery, V

Reference 20

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.855891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:3920f73b4e0b5b455a1a0c8fa69b9659b9f8f8fdfabe1fedfee144c046677a63

Observation f28497ce-cd7c-42cb-95bf-081a835a6f25 · outbound

This paper cites Teo, Casimir effect of electromagnetic field in Randa ll-Sundrum spacetime, JHEP 10 (2010) 019.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Teo, Casimir effect of electromagnetic field in Randa ll-Sundrum spacetime, JHEP 10 (2010) 019

Reference 21

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raw_fallback, observed 2026-05-19T05:12:59.870203Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:368476e24cb615c5dec5242b3e1cca6ecc934211a7d7b9cb4cb78298994052ab

Observation 99a04b7a-966f-49b7-b5b8-2b81b043bda1 · outbound

This paper cites Belokogne, A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Belokogne, A

Reference 22

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raw_fallback, observed 2026-05-19T05:12:59.851624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:47e5ad29be9a59ab720817e5a7699fe884c1549bf5935b227da22d9b9996169a

Observation 2e28d781-e759-434b-9c67-276d824da871 · outbound

This paper cites Decca, D.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Decca, D

Reference 23

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raw_fallback, observed 2026-05-19T05:12:59.872998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:fbbbef2221b9ec6eed5b52166bb0f519d22fe90a7476bae085ce56001ed299e8

Observation 976c39f2-5aaf-4b97-ac7e-6435bccb64c8 · outbound

This paper cites Klimchitskaya, V.M.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Klimchitskaya, V.M

Reference 24

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raw_fallback, observed 2026-05-19T05:12:59.859106Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:8674496df13cdaca36eee0c608684343d144a1d86b98cda7bca174d0b0a936e2

Observation dd03bc57-d394-4407-844e-f5f0f6699399 · outbound

This paper cites Klimchitskaya, Constraints on theoretical predi ctions beyond the Standard Model from the Casimir effect and some other tabletop physics, Universe 7, 47 (2021).

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Klimchitskaya, Constraints on theoretical predi ctions beyond the Standard Model from the Casimir effect and some other tabletop physics, Universe 7, 47 (2021)

Reference 25

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source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:1de9f4639f0d3bfdd39889c9272db8079b610d62fc91e3a845d0f3baaa26c4d7

Observation 61ea45e8-eff4-4b1a-9ebd-51ae27e94b6b · outbound

This paper cites Casimir nanoparticle levitation in vacuum with broadband perfect magnetic conductor metamaterials.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Casimir nanoparticle levitation in vacuum with broadband perfect magnetic conductor metamaterials

Reference 26

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arxiv_id, observed 2026-05-19T05:12:05.316482Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:103437242312391ed6908da5379cf9e20bda2c4b24e3d62d10915a41af615976

Observation 6f7cc303-378d-46d5-a774-812edd8996e3 · outbound

This paper cites Birrell, P.C.W.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Birrell, P.C.W

Reference 27

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raw_fallback, observed 2026-05-19T05:12:59.844020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:b916d294b763c7052a6930eb67fdba333eccdeb285cbd28462b3ec99e7f825b7

Observation 9484a56b-52a4-4aa0-9a00-f2c0350d09f5 · outbound

This paper cites Edery, V.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Edery, V

Reference 28

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raw_fallback, observed 2026-05-19T05:12:59.837406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:407c1feceb1d7241d003f25cc629408facc209177cbeaf653295755695898309

Observation 4445ec63-a8bb-40e5-9f20-4910b3f9e045 · outbound

This paper cites Saharian, A.S.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Saharian, A.S

Reference 29

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.876186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:0dd3620d9da0309faae652eb9702d748f9548ee700e2bca4f4641ff037bcd582

Observation dee924d2-3d61-43cb-957a-c733315ea998 · outbound

This paper cites Saharian, A.S.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Saharian, A.S

Reference 30

Resolution
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raw_fallback, observed 2026-05-19T05:12:59.862617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:c55924813a413e2eb878ed9906863e6d10e31ebd307bc02e2a556561387bc5ef

Observation 5e1217cb-e364-4c50-aeb6-3f8ccfaf79ef · outbound

This paper cites Kotanjyan, A.A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Kotanjyan, A.A

Reference 31

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raw_fallback, observed 2026-05-19T05:12:59.840889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:344e1481ed7180c445bcbbbeee8f3c2f45a3c0dd57f1e55ce01839dce8bd4f58

Observation ab5cb00f-e82a-4fcc-8e39-01a137c7be32 · outbound

This paper cites Prudnikov, Yu.A.

Two-point functions and the vacuum densities in the Casimir effect for the Proca field Prudnikov, Yu.A

Reference 32

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raw_fallback, observed 2026-05-19T05:12:59.879328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T05:08:00.273552Z digest=sha256:49ed472295b260ff8243c4d3c3676252a3205e0007b9731bc8a160f8030def1f

Pith citing papers

No inbound Pith citation observations are available.