Paper Citation Record · LEDGER

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

As of 13 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

32 of 32 outbound references displayed

verified exact1
verified fuzzy30
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.926723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.894071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.944384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.930356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.918713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.901713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.905182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.954698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.937371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.898120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.886609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.940979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.882849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.870203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.859106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.847462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:12:05.316482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.