Pith. sign in

Paper Citation Record · LEDGER

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing

As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2511.13562.

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

pith.paper-citation-record.v1
2511.13562 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:56:24.587737Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:09:40.042698Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved36
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1214d4ba-0f9d-4b97-a793-61803a094605 · outbound

This paper cites an unresolved cited work.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.517182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.517182Z digest=sha256:96d1b66f54929c583d84fb10a0b7e8cc9811605d0c01886adf45fba2fb45897b

Observation 3b7d4d2f-6c91-4889-903b-33087b6fcb41 · outbound

This paper cites exact dS.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing exact dS

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.513445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.513445Z digest=sha256:9a25c31c48576f1b1a1a8161b2b2bb27c09821805857ca02cc3988375258f960

Observation 2f956eda-e940-4fc2-9500-7a366bca2ec6 · outbound

This paper cites an unresolved cited work.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.519352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.519352Z digest=sha256:f49d20d49f35de701add7f6a45ed4bf00cff78d4e6c3561284c0e7010256ef42

Observation c3dded0a-0491-40e8-97d6-dc2893a0bc19 · outbound

This paper cites an unresolved cited work.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.521651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.521651Z digest=sha256:15208fea489b2672136164ad2c529f02ac1787f5fda746fb121ca44eeed92a86

Observation f9e48922-9e5b-4ff6-ad74-5eb3ab0cb050 · outbound

This paper cites In what follows we present precisely such an action.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing In what follows we present precisely such an action

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.524235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.524235Z digest=sha256:6c0701b5fde6d0671a964eadd36d36d3f1fc75a1e8f3651be7fa9bbb55568100

Observation a18909d6-31ce-43b6-9c24-45d0b3e24aea · outbound

This paper cites Riess, A.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Riess, A

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.526828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.526828Z digest=sha256:00cc18e8d55198cf4189f0629be6df92d689310cc7a447daf966b9bbc39a4aa3

Observation 1e90cef4-3799-463a-816b-288807843e99 · outbound

This paper cites Perlmutter, G.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Perlmutter, G

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.529017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.529017Z digest=sha256:dac90210149084a47fd27500a0ac1263293208acf1cac81424081609bf363cb4

Observation da0844e9-904e-46ae-8ce7-166a9d6d5224 · outbound

This paper cites an unresolved cited work.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.530960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.530960Z digest=sha256:7e9d0ab8e647e1f0bd74c11b80041406207340678bb8d29caac0bf7de10b7f9c

Observation 5c3893db-885e-4753-bd15-fc150fa064d7 · outbound

This paper cites Zel’dovich, The cosmological constant and the theory of elementary particles, Sov.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Zel’dovich, The cosmological constant and the theory of elementary particles, Sov

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.532998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.532998Z digest=sha256:101ff34416291e6aaa95de409e666a5cebbc246958857ed978d1058d5f332cb5

Observation 656dea55-3885-4fec-8427-8aeae275b0e3 · outbound

This paper cites Weinberg, The cosmological constant problem, Rev.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Weinberg, The cosmological constant problem, Rev

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.535069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.535069Z digest=sha256:7324a6be17187c3b3c5f62bbc6893b0ae7ffc0e8011218e2fdc18d5a4868c14f

Observation e9bc4de6-90c2-4d44-ad8a-85a4ae6a2007 · outbound

This paper cites Brout, D.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Brout, D

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.537113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.537113Z digest=sha256:62de0067b944b1ce71c58e540abcae9bb8d167874445972157f1d53ae39af1a1

Observation d7a3006b-8fce-4660-9181-8e26045479cb · outbound

This paper cites Anderson and D.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Anderson and D

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.539352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.539352Z digest=sha256:564b2f77b33f8a5f70450751b893c2b0c0fac684b28d4508af7fcfd2644312c6

Observation aad51733-dc6d-4cc5-85ea-498a3aa7bc95 · outbound

This paper cites Álvarez and M.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Álvarez and M

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.541274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.541274Z digest=sha256:bdb30e5ef8a1ef4f966586190a59658aaae0e01c012d351991f210833cecc662

Observation ce58a00f-d828-44f9-baa2-ded8f8e8476b · outbound

This paper cites Bufalo, M.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Bufalo, M

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.543515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.543515Z digest=sha256:598d9a1d4bf0df258318249ee46fc24ba0dee3b8eee885baa1130badc418f2db

Observation 56dce2cf-f2dd-4cfa-9666-93da7fc220fe · outbound

This paper cites Jordan, Zum gegenwärtigen stand der diracschen kosmologischen, Hyp.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Jordan, Zum gegenwärtigen stand der diracschen kosmologischen, Hyp

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.545461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.545461Z digest=sha256:bf31ac0cf5beb6c65757af862740a8171bb88ba127242caf3adb7c7321a72718

Observation 93198917-b96b-4b60-9a70-d0fd87722ec8 · outbound

This paper cites Brans and R.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Brans and R

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.547746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.547746Z digest=sha256:6279c0487bb3510420f9af439831e8a55f9eaaf5748288279c7e6d07797238f5

Observation b90a94ba-ce54-4795-b8cd-7b8506231f11 · outbound

This paper cites Brans, Mach’s principle and a relativistic theory of gravitation.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Brans, Mach’s principle and a relativistic theory of gravitation

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.549858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.549858Z digest=sha256:6cc99c656b874889f9e1374ad785d6c1464456f32948e4716f843bcc049d6280

Observation 74e6f05f-aac7-44ae-b80f-2f86ccb73ef6 · outbound

This paper cites Bekenstein, Relation between physical and gravitational geometry, Phys.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Bekenstein, Relation between physical and gravitational geometry, Phys

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.552825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.552825Z digest=sha256:3409ea779a98b60436021cee18d4c89dd02a14fd6e9a23c4e47186b44df2b6c9

Observation 1812d678-3ea4-4d0d-81fa-b38deb8174c4 · outbound

This paper cites Gubitosi, F.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Gubitosi, F

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.554817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.554817Z digest=sha256:aaad39bdf45fa74a6c35cd4de14a65581d72190af3addc5945ce0c89fc84037b

Observation 89b05704-66b5-4d9e-bb6b-8886529dc4c9 · outbound

This paper cites Koivisto, Disformal quintessence, Phys.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Koivisto, Disformal quintessence, Phys

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.557119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.557119Z digest=sha256:77a866f9c5a54b92debde47fc7a2c00afb9523327d1fdd5ff2ad54b183264b7e

Observation 7fb017a6-bcd5-439b-850d-4fd6d848c686 · outbound

This paper cites Brax and C.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Brax and C

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.559316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.559316Z digest=sha256:1ab1bfbb8519bf105856981b4fff086b4abf628285fd407b60f2d10a77065665

Observation 7e8b9000-0d77-410f-b56e-ab0fbcf039b3 · outbound

This paper cites Sakstein, Disformal theories of gravity: From the solar system to cosmology, JCAP2014(12), 012.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Sakstein, Disformal theories of gravity: From the solar system to cosmology, JCAP2014(12), 012

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.561313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.561313Z digest=sha256:a9ce3762d3958407947401442a7f180873cb5ac7f910eade352703309d432509

Observation de4e518d-a3d1-4526-b24b-90bdd2cfa814 · outbound

This paper cites Clayton and J.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Clayton and J

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.563226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.563226Z digest=sha256:e40ca272e89abb340a890ead2c6fb95fdcabcc7c51a4041a7d2b70b976efce6c

Observation 8f0804a1-82e7-48ef-9b29-e45edf9da7fa · outbound

This paper cites Clayton and J.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Clayton and J

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.565463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.565463Z digest=sha256:8ccd3a524415492782a3aa52834ea0e4c3c8ce3cb1ebd692da0c06b790eb3920

Observation 8a564e81-ce62-41d2-86f4-c386e31fc3c2 · outbound

This paper cites Moffat, Bimetric gravity theory, varying speed of light and the dimming of supernovae, Int.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Moffat, Bimetric gravity theory, varying speed of light and the dimming of supernovae, Int

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.567311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.567311Z digest=sha256:dabc3026ee201015246fa68ec4ead9921382b847340476f41155ea51d87d2ba9

Observation dea1135f-e611-4dd1-9ddc-0c799f4552fe · outbound

This paper cites Magueijo, New varying speed of light theories, Rep.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Magueijo, New varying speed of light theories, Rep

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.569177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.569177Z digest=sha256:64cf87da04bdc5461fba70e59ff832e72fd3e22e95b8aed779bc22ad7d3ea7b8

Observation 77dc6616-30e4-4651-8357-ea7bf23be595 · outbound

This paper cites Buchmüller and N.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Buchmüller and N

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.571095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.571095Z digest=sha256:803ed6605039bc57c6f81ddd4c41c2cdbe6518689255e2f10d831a640a6ef0a2

Observation 80d00b61-d94d-4b73-a9f0-0e0c99e8d4cb · outbound

This paper cites Buchmüller and N.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Buchmüller and N

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.572956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.572956Z digest=sha256:d3133c209b5503c1ca46fc3863f4749f4b211cb0dd1345d7f37e567fa2d52ce8

Observation 98b8ea44-f973-4bc7-bc92-f473f6d8f912 · outbound

This paper cites Unruh, Unimodular theory of canonical quantum gravity, Phys.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Unruh, Unimodular theory of canonical quantum gravity, Phys

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.574891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.574891Z digest=sha256:aac94e8059836e5d5fbf0b09aac39eeebaaa7f8fcec566378a9328b4c32db11a

Observation a0af0188-6c80-4f23-a134-022add01804d · outbound

This paper cites Padilla and I.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Padilla and I

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.576817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.576817Z digest=sha256:1820e11487745e18addd51fe18bcf50dc9b9041dd52979ac4029ae69266f7c63

Observation 99bea42c-dd4d-4926-96da-b69dff3a73f3 · outbound

This paper cites Henneaux and C.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Henneaux and C

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.578745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.578745Z digest=sha256:d68fb4075268058a75da68eceed58c52df0aef1f7d4023d9af44c4dee16524be

Observation aaa61666-dcfa-4864-9f6a-f007257ef879 · outbound

This paper cites Jiroušek, Unimodular Approaches to the Cosmological Constant Problem, Universe9, 131 (2023).

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Jiroušek, Unimodular Approaches to the Cosmological Constant Problem, Universe9, 131 (2023)

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.580521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.580521Z digest=sha256:35a9dbdf466f347c1701d117781d6fd208a95525aa1830a22c3eb216842165d6

Observation c5e0f1c6-9b57-429d-91e7-c4d6b927adb3 · outbound

This paper cites Magueijo, Bimetric varying speed of light theories and primordial fluctuations, Phys.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Magueijo, Bimetric varying speed of light theories and primordial fluctuations, Phys

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.582336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.582336Z digest=sha256:4253de9f31c31da3d66886d5ebff6d5e62c7e4619168001f9c26196ae320a5fd

Observation 1ac8f17a-029e-4d10-af8c-569e3ed5dff1 · outbound

This paper cites Hallam,Bimodular Gravity, MSc Thesis, Imperial College London (2025).

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Hallam,Bimodular Gravity, MSc Thesis, Imperial College London (2025)

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.584173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.584173Z digest=sha256:09746fc6cc67a088d329ca0b71cb0faced9fc64e77b1e7f804c47c88981d858b

Observation 3a8aa203-c552-4e92-8aa3-5f2d732f1f4d · outbound

This paper cites Garriga and V.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Garriga and V

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.585966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.585966Z digest=sha256:46fd2899f4c734dbc5c9dde63196f43af16f6c70e7a6285cf8e6320b1a6ef59d

Observation d8588d97-05ef-4f88-a844-6949021bb8f2 · outbound

This paper cites Armendariz-Picon, V.

Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing Armendariz-Picon, V

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-03T21:56:24.587737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:24.587737Z digest=sha256:c28f5734fb37cbdf61bcbabcb8d6195cb9e60f98fa01a7b0165727093ab6721d

Pith citing papers

Observation 5d86b3a9-7772-48f4-ae7f-5597217c66a7 · inbound

Rolling Galileons: Evolving Braiding Strength for Viable Dark Energy cites this paper.

Rolling Galileons: Evolving Braiding Strength for Viable Dark Energy Bimodular Gravity: Vacuum Evolution with a Frame-Dependent Phantom Crossing

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T21:09:40.042698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:09:40.042698Z digest=sha256:cb84498c826484283c00b5b8a061ebcad27fcbe74446b810be2ff7ef789517bc