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Paper Citation Record · LEDGER

When Bi-interpretability implies Synonymy

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.01028.

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

pith.paper-citation-record.v1
2506.01028 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:03:01.446581Z

measured 33 of 33 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 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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy30
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a1cb60b-ef15-4e4d-8812-561d5f2e9279 · outbound

This paper cites Quasi finitely axiomatizable totally categorical theories.

When Bi-interpretability implies Synonymy Quasi finitely axiomatizable totally categorical theories

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:02.033370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f828c11d-4471-4fce-9b50-faa4b8c55391 · outbound

This paper cites String theory.

When Bi-interpretability implies Synonymy String theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:02.019070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.279085Z digest=sha256:6b5311ba8be030118347e7619ba8a01c8422917b0c379ac351c9030cac3ae77b

Observation 9344ee57-0111-4fd5-8960-26fdd6a87cdc · outbound

This paper cites Collins and James D.

When Bi-interpretability implies Synonymy Collins and James D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:02.005431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.284267Z digest=sha256:a6710759400929a65d6eccd1929e65d0755ace707e8b5b81f4e372b327bda128

Observation 928cb345-a5d2-4d8a-af68-b7bcc272e1c9 · outbound

This paper cites de Bouv \` e re.

When Bi-interpretability implies Synonymy de Bouv \` e re

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.990744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.290241Z digest=sha256:5b3cc6eba83c3eb357b7eaf8ce039dda7644447e6870f2ed8be5f6e0add89d02

Observation 6ca41c0c-cee1-48b1-a14c-62f90297c659 · outbound

This paper cites de Bouv \` e re.

When Bi-interpretability implies Synonymy de Bouv \` e re

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.969470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.296338Z digest=sha256:8162d1a1396b50a70d78d339706b7543a8656d3a231037c16247a285920b677a

Observation 50f540f0-3e6b-4c54-b53b-086fc0531654 · outbound

This paper cites Categoricity-like properties in the first order realm.

When Bi-interpretability implies Synonymy Categoricity-like properties in the first order realm

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.954925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.301454Z digest=sha256:7de248cf288901a396085cbfc8a7da86031696ebd1be89c1d22f1d98707dc190

Observation 4252a563-5f0e-4e5f-8ea8-f18ad717f868 · outbound

This paper cites -models of finite set theory.

When Bi-interpretability implies Synonymy -models of finite set theory

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.933837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.306984Z digest=sha256:2b078eea27131aa983444d1ff9cc34b3b1f7573648ffecf8426a031c9cd3f88a

Observation 86e15d1d-17f6-4489-8c26-6bf8bc4297ac · outbound

This paper cites Model theory.

When Bi-interpretability implies Synonymy Model theory

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.918130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.311950Z digest=sha256:ab3682f4371da62fcb652a97e720ad8fb24d2e5ec981c6a2f3bb932ae7401882

Observation 6cb3dab6-6407-462b-9d9d-56cba691c2b9 · outbound

This paper cites Metamathematics of First-Order Arithmetic.

When Bi-interpretability implies Synonymy Metamathematics of First-Order Arithmetic

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.902908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.317623Z digest=sha256:10bd0da212fcb4772222671a1110d0d6ea91a6127ab6cd23d06255167027aff1

Observation 5fa7ccf8-a9cc-4ae9-b2b6-95139a6fe355 · outbound

This paper cites Sequence encoding without induction.

When Bi-interpretability implies Synonymy Sequence encoding without induction

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.886627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.322442Z digest=sha256:fd596aa4620e69bdcf9222345940d9489fead5bec18e24ed7db5de8cc0d92ed3

Observation b15761ba-0a50-4485-92cf-8f64d38fe5cc · outbound

This paper cites Joosten and Albert Visser.

When Bi-interpretability implies Synonymy Joosten and Albert Visser

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.871481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.331072Z digest=sha256:172bbd7901f542c5928ad8b1a492d5c5024fc1b85f4533a77a81cecacf68d5d7

Observation a0e17146-b619-450e-91ea-94c5d46f4d9a · outbound

This paper cites Models of P eano A rithmetic.

When Bi-interpretability implies Synonymy Models of P eano A rithmetic

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.855710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.335809Z digest=sha256:0ff669450e8131d2cfd00c13be94c0f1e34f86ccddbb50aecaec8a28b8b74de2

Observation b08f1fcb-5af6-46a8-be4b-cb074b6f4b9a · outbound

This paper cites On interpretations of arithmetic and set theory.

When Bi-interpretability implies Synonymy On interpretations of arithmetic and set theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.840191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.340850Z digest=sha256:29a1fe13452c6adbbbe8991e76363070aea78a4bf48b968f1dfa14513e0bd0bf

Observation cc457665-5bff-40bc-9b44-dc0cefa86391 · outbound

This paper cites Set Theory with and without urelements and categories of interpretations.

When Bi-interpretability implies Synonymy Set Theory with and without urelements and categories of interpretations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.823508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.349773Z digest=sha256:daac112c8002b0dd4c02b5152b67c989542ee47e8c50be09ea580b46111ece0e

Observation 32752635-4381-40f0-9a0c-5751f8afb3ed · outbound

This paper cites A minimal predicative set theory.

When Bi-interpretability implies Synonymy A minimal predicative set theory

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.808433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.354504Z digest=sha256:bf89131730affcdaaf3c6deb327818869272874c67b3cf7625e1ad25afb74018

Observation 677cb29f-8894-4451-8e50-26b4223e0a8f · outbound

This paper cites an unresolved cited work.

When Bi-interpretability implies Synonymy Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:03:01.792045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.359178Z digest=sha256:f5cc5785caeddd5a41169c5f8a78139c240eb30343576b91721aaa8e9fd51f40

Observation ebe23b6d-af47-4a58-bb88-f04cf93fc8f9 · outbound

This paper cites Predicative arithmetic.

When Bi-interpretability implies Synonymy Predicative arithmetic

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.775793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.363570Z digest=sha256:a210f44ec979eeaa784db0cdf36d7e079462859c21cbdca987b9f9ff31e85675

Observation 8b90d6ab-884c-4a4e-ab90-d69518d19bab · outbound

This paper cites How to escape Tennenbaum's theorem.

When Bi-interpretability implies Synonymy How to escape Tennenbaum's theorem

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:03:01.494058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.368248Z digest=sha256:a926b7b28459354e8ee091d79c1c52723d6cb66773fc6a79bef1d4c472e79d26

Observation 4811a743-5bf9-433e-9c87-01eec49ae6c6 · outbound

This paper cites Some prime elements in the lattice of interpretability types.

When Bi-interpretability implies Synonymy Some prime elements in the lattice of interpretability types

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.758988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.373919Z digest=sha256:028bcf8a38efd27675357036aa870e8835e3f25819929cf327a1e4c1a43df622

Observation 7839a9bd-7b2b-4cbb-ac72-21ab5e3a6392 · outbound

This paper cites Cuts, consistency statements and interpretations.

When Bi-interpretability implies Synonymy Cuts, consistency statements and interpretations

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.741069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.378549Z digest=sha256:bb5aa39fd4a452d61fe7e58deabed1353c3df120366c81dba708f8855878b84a

Observation bac993dd-09c6-4626-8d19-90b1bc6a26d1 · outbound

This paper cites Concatenation as a B asis for A rithmetic.

When Bi-interpretability implies Synonymy Concatenation as a B asis for A rithmetic

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.724999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.383288Z digest=sha256:57d4637c08bff5b61041a5f079604bfd64561f796fc42e0b62bde2ff237aecf7

Observation 72bc7cf1-0a51-415f-a002-8f706ba85793 · outbound

This paper cites Definability and Decision Problems in Arithmetic.

When Bi-interpretability implies Synonymy Definability and Decision Problems in Arithmetic

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.710139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.388183Z digest=sha256:ebc973b4727b75d7c0101a74bec2c1a37b361b7c78ae1e042b1336f14825380d

Observation 54bc1718-0e2c-4f1c-b01e-c5cd6c5eba5b · outbound

This paper cites Nonstandard models and related developments.

When Bi-interpretability implies Synonymy Nonstandard models and related developments

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.694578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.393369Z digest=sha256:3b2da57b997d9fd22a1413455fcfbed911e7e4d9517df9d58037aa06d898acda

Observation 571de0a4-b7a0-4604-af62-ac23a76753a7 · outbound

This paper cites Mutual Interpretability of some essentially undecidable theories.

When Bi-interpretability implies Synonymy Mutual Interpretability of some essentially undecidable theories

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.678690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.398078Z digest=sha256:94ffbeadae068306ceff8b966765449ea7034e8b459139be5953c64fcb6f93ff

Observation f0cf7f42-9631-407d-b28e-4e56e67f791e · outbound

This paper cites Interpretability logic.

When Bi-interpretability implies Synonymy Interpretability logic

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.661959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.403594Z digest=sha256:c81da97057118f004298ba36dadae5395389834f28ac50297d42e20ef44c2d0a

Observation f0db8787-4043-4906-a486-0465dd2b02a6 · outbound

This paper cites An inside view of E X P.

When Bi-interpretability implies Synonymy An inside view of E X P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.645791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.409893Z digest=sha256:e8f2fb280b92bfbf52a54187f5899e97917c060bf15232b3c9c6199eac3d7919

Observation 391eefef-6fa5-4955-9442-219ae2c56dd6 · outbound

This paper cites The unprovability of small inconsistency.

When Bi-interpretability implies Synonymy The unprovability of small inconsistency

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.627378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.414816Z digest=sha256:a6f1ddcce96196368d859d6bbc4122c1f69e3c9209c052b6b58a1687849b4cf8

Observation 194f8b0e-c658-42d9-af16-cc7dd31a7e4b · outbound

This paper cites An Overview of Interpretability Logic.

When Bi-interpretability implies Synonymy An Overview of Interpretability Logic

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.608945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.419731Z digest=sha256:ef65ac3b242d45ba149f55b97218f40d0a701ef1dcb5d2117736717cccfbd130

Observation b09a6264-46b5-4faa-9929-97a0ed5e6d8a · outbound

This paper cites Faith & F alsity: a study of faithful interpretations and false ^0_1 -sentences.

When Bi-interpretability implies Synonymy Faith & F alsity: a study of faithful interpretations and false ^0_1 -sentences

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.590250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.426069Z digest=sha256:53beedcaeccb0b7e79d7466337d359d2a5a4c65b84f9853aff745dfb5878d6f0

Observation ee61754d-c784-4f0d-b1e1-eb28e2b5d07a · outbound

This paper cites Categories of T heories and I nterpretations.

When Bi-interpretability implies Synonymy Categories of T heories and I nterpretations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.567955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.431025Z digest=sha256:9ed567df0dd58f23c9adfe7dcafd0dc7d92fd5c6d8e85d296fa345fb441b144b

Observation 2fe79155-6725-4023-8913-36cfbdd1b20f · outbound

This paper cites Pairs, sets and sequences in first order theories.

When Bi-interpretability implies Synonymy Pairs, sets and sequences in first order theories

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.550764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.436034Z digest=sha256:da76a6f5cc4e048c73e6fca3ca1fc4572560726f39ca24118c72d3769e63c1d4

Observation 70d1929d-0df8-4a9c-9c58-2869061b9077 · outbound

This paper cites Cardinal arithmetic in the style of B aron von M \"u nch\-hausen.

When Bi-interpretability implies Synonymy Cardinal arithmetic in the style of B aron von M \"u nch\-hausen

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:03:01.531865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.441724Z digest=sha256:bc7abe499492da5bc0c094a549280db192854ebbecca449b1294035e2d2659c4

Observation 2b8667e6-babd-495c-8345-561ce65e6370 · outbound

This paper cites an unresolved cited work.

When Bi-interpretability implies Synonymy Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:03:01.512108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:03:01.446581Z digest=sha256:d924831c1b4a5e53405bf3422f8dd63f72195dee07a475460cdd965f0fb3e726

Pith citing papers

No inbound Pith citation observations are available.