Paper Citation Record · LEDGER

Syntax Meets Semantics: Understanding Scientific Formulae

As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.02457.

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

pith.paper-citation-record.v1
2608.02457 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:59:22.745468Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

35 of 35 outbound references displayed

verified exact1
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38553470-462f-4e9b-8573-ee641ea2875e · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:18.848111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c0eb5d-cf4c-4a60-925d-f00914e16c84 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:18.984614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 060b2b6e-05c1-4117-ba98-ba91711383ce · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.083736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f21043e9-ed39-48a4-bb44-81ab46dcc2fc · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.166979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e26b17f7-f8a4-4e3b-9a09-5486983b20b9 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.322003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce20bd3d-047a-4ecc-9110-c8e5a9369501 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.476320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8e92064-5a3e-4e45-9975-5039b2c6d6c1 · outbound

This paper cites Preliminary Exploration of Formula Embedding for Mathematical Information Retrieval: can mathematical formulae be embedded like a natural language?.

Syntax Meets Semantics: Understanding Scientific Formulae Preliminary Exploration of Formula Embedding for Mathematical Information Retrieval: can mathematical formulae be embedded like a natural language?

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.595007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2ea653d-696b-47ed-b5e6-3456c3665e70 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.688013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83dbd949-a8c0-4695-8d99-55238fb9cc04 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.822897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dd758b3-5c89-4fc4-809b-0af1d61b8c3e · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.901921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d49760fd-57b6-4670-a17e-c91b8089b5dc · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:19.982436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 905771a4-4d55-4e86-a3c9-e33b67114a67 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.087126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09cf3213-cfab-41ec-ac1d-c09de6204492 · outbound

This paper cites Equation Embeddings.

Syntax Meets Semantics: Understanding Scientific Formulae Equation Embeddings

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.175968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c38137a1-0b15-44e4-9880-3e227fc6edeb · outbound

This paper cites Pavan Kumar, Arun Agarwal, and Chakravarthy Bhagvati.

Syntax Meets Semantics: Understanding Scientific Formulae Pavan Kumar, Arun Agarwal, and Chakravarthy Bhagvati

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.443630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7af4b410-bcb5-4a9d-a142-ee8750e678aa · outbound

This paper cites SSEmb: A Joint Structural and Semantic Embedding Framework for Mathematical Formula Retrieval.

Syntax Meets Semantics: Understanding Scientific Formulae SSEmb: A Joint Structural and Semantic Embedding Framework for Mathematical Formula Retrieval

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.502109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d72b5125-48f7-44de-9566-6d9c3b30e1a3 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-04T07:03:25.413541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f0520e8-41de-45ca-a182-e6eddc9f52db · outbound

This paper cites Oard, and Richard Zanibbi.

Syntax Meets Semantics: Understanding Scientific Formulae Oard, and Richard Zanibbi

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.636925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0651727f-3631-4027-8364-e2b59d2805f4 · outbound

This paper cites Oard, Jian Wu, C.

Syntax Meets Semantics: Understanding Scientific Formulae Oard, Jian Wu, C

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.741987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a38436c9-e044-4817-869b-ccf44d5b2e97 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.823493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 060ac725-f35f-47b1-a620-a04d978938c3 · outbound

This paper cites Miller and Abdou S.

Syntax Meets Semantics: Understanding Scientific Formulae Miller and Abdou S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.902143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b22a716-f825-40fc-b6b1-3f944d728778 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:20.912696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 780a12a3-9ff7-447c-990c-930a7a623622 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.079064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cadb23d-1418-4512-8e0c-a6d571252b13 · outbound

This paper cites MathBERT: A Pre-Trained Model for Mathematical Formula Understanding.

Syntax Meets Semantics: Understanding Scientific Formulae MathBERT: A Pre-Trained Model for Mathematical Formula Understanding

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.172231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 160b1428-7ded-40da-a92a-62684b50a7dd · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.254221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79f8893c-4597-4edd-a62b-f9a64dbf661c · outbound

This paper cites Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks.

Syntax Meets Semantics: Understanding Scientific Formulae Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.357645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef840509-5dda-4f8b-aa6a-2dae936bb898 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.449222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 642b50aa-2e1e-4799-aa81-98a12d097258 · outbound

This paper cites Cohl, and Bela Gipp.

Syntax Meets Semantics: Understanding Scientific Formulae Cohl, and Bela Gipp

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.554731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8c53046-f3bd-4140-932c-122aa1063141 · outbound

This paper cites MathBERT: A Pre-trained Language Model for General NLP Tasks in Mathematics Education.

Syntax Meets Semantics: Understanding Scientific Formulae MathBERT: A Pre-trained Language Model for General NLP Tasks in Mathematics Education

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.717948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ee6c7d-afef-45f2-b965-75c64bec7585 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:21.885744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 061cb5b4-fc6e-43a3-9807-7c310154af92 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.146023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec98db5c-2e80-405a-8a3b-ee275bbdecdc · outbound

This paper cites Lan, and Richard G.

Syntax Meets Semantics: Understanding Scientific Formulae Lan, and Richard G

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.274809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1183d6d-e903-41da-95d3-f7b37b835035 · outbound

This paper cites Baraniuk, and Andrew S.

Syntax Meets Semantics: Understanding Scientific Formulae Baraniuk, and Andrew S

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.419646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6e05ad5-6256-46cb-aa8f-a13f28dcc789 · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.495508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb07ce4d-99b5-45bf-bf0d-763f490e7cef · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.643661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae65de96-d37e-400d-b55b-e98be15f388b · outbound

This paper cites an unresolved cited work.

Syntax Meets Semantics: Understanding Scientific Formulae Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T06:59:22.745468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.