Pith. sign in

Paper Citation Record · LEDGER

Extending the solutions and the equations of quantum gravity past the big bang singularity

As of 17 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2501.13113.

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

pith.paper-citation-record.v1
2501.13113 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:46:59.766655Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

11 of 11 outbound references displayed

  • verified exact6
  • verified fuzzy2
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a7ad1ed5-8706-44e7-a226-80aeba551ee6 · outbound

This paper cites Arnowitt, S.

Extending the solutions and the equations of quantum gravity past the big bang singularity Arnowitt, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:46:59.880976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.731751Z digest=sha256:c1de9ee40040abdb52c969d9244e5bb01a69313fef083199b7c0c45bc53d5755

Observation df24be50-6708-427b-a989-fda9ee82495b · outbound

This paper cites Courant and D.

Extending the solutions and the equations of quantum gravity past the big bang singularity Courant and D

Reference 2

Resolution
verified exact
doi, observed 2026-08-10T19:46:59.825250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.735243Z digest=sha256:880b9cc95d676a434c5f1c470426a879907687e914a34f52adc57e8bec37efd0

Observation 96afd83a-c098-443a-a65d-7da21e7f0fbd · outbound

This paper cites an unresolved cited work.

Extending the solutions and the equations of quantum gravity past the big bang singularity Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:46:59.874843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.739765Z digest=sha256:93d21f0b7e7f249f632ed3fd345415606dc87fe22a0111c2c3aac3fef400bdb3

Observation 89728b23-6e40-44d5-a7cb-8323cfd7d722 · outbound

This paper cites The quantization of gravity in globally hyperbolic spacetimes.

Extending the solutions and the equations of quantum gravity past the big bang singularity The quantization of gravity in globally hyperbolic spacetimes

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:46:59.837554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.743548Z digest=sha256:ee4c25c4795e18a995765bbd2673b6c4288e63ac5918af008bd2511889c52fa8

Observation 39089df2-0e5b-45b1-8386-650335957c61 · outbound

This paper cites 4, 91, doi:10.3390/universe7040091.

Extending the solutions and the equations of quantum gravity past the big bang singularity 4, 91, doi:10.3390/universe7040091

Reference 5

Resolution
verified exact
doi, observed 2026-08-10T19:46:59.816684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.746649Z digest=sha256:3bcdf89861d7a5f58b906e87a226974b22288774c165ae26f3cd57832cbf02d2

Observation ba2f8ff7-730f-40a4-b166-5094eb06c09e · outbound

This paper cites 8, 404, doi:10.3390/universe8080404.

Extending the solutions and the equations of quantum gravity past the big bang singularity 8, 404, doi:10.3390/universe8080404

Reference 6

Resolution
verified exact
doi, observed 2026-08-10T19:46:59.807893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.749686Z digest=sha256:d78c6bc126e392a3fe4fcb9370623fec2b062fc651bcdf5536db1a353d216d7b

Observation 7bf4cdef-021c-4144-adee-eaf129e640f7 · outbound

This paper cites 8, 1599, doi:10.3390/sym15081599.

Extending the solutions and the equations of quantum gravity past the big bang singularity 8, 1599, doi:10.3390/sym15081599

Reference 7

Resolution
verified exact
doi, observed 2026-08-10T19:46:59.798276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.753424Z digest=sha256:abb4ef91650ad6a4711843b273a09d1a206562007cbb0225200db7d99c7fc647

Observation ce92712b-d0bc-475d-8002-d72311b9eead · outbound

This paper cites 194, Springer, Cham, November 2024, doi:10.1007/978-3-031-67922-3.

Extending the solutions and the equations of quantum gravity past the big bang singularity 194, Springer, Cham, November 2024, doi:10.1007/978-3-031-67922-3

Reference 8

Resolution
verified exact
doi, observed 2026-08-10T19:46:59.789330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.757081Z digest=sha256:a13ff2b36354da9835772df29b6467ad81b27a6eb2be334542f4e9b6e0ae27ca

Observation e962d6c2-9d5f-40ae-8c58-8c88d6228eb4 · outbound

This paper cites an unresolved cited work.

Extending the solutions and the equations of quantum gravity past the big bang singularity Unresolved cited work

Reference 9

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T19:46:59.867054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.759736Z digest=sha256:adf135b543cad5e23115ed7aba8136d02e791d5dfb10ec69ffc1111ec19ec6e6

Observation 43cafaee-3a21-45f7-b6e3-94fd44e07063 · outbound

This paper cites Monografie Matematyczne, Tom 45, Państwowe Wydawnictwo Naukowe, Warsaw, 1967.

Extending the solutions and the equations of quantum gravity past the big bang singularity Monografie Matematyczne, Tom 45, Państwowe Wydawnictwo Naukowe, Warsaw, 1967

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:46:59.859625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.763117Z digest=sha256:aaa3480014a4f643f18b370fc0755191cf11b726e93a5896f21d1113af3f36e4

Observation dd68aa28-f71c-4929-a030-7217f191e263 · outbound

This paper cites an unresolved cited work.

Extending the solutions and the equations of quantum gravity past the big bang singularity Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:46:59.849675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T19:46:59.766655Z digest=sha256:410167ce1ee01fd1f59799725121c6f1d86274f4e31f95b74d09f5988cf03bab

Pith citing papers

No inbound Pith citation observations are available.