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Paper Citation Record · LEDGER

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.09182.

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

pith.paper-citation-record.v1
1908.09182 v4

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:30:55.023550Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved9
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02430847-4785-4bd9-9c9c-74a5fa13d27c · outbound

This paper cites 5, 1362 – 1422.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group 5, 1362 – 1422

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.250409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.958486Z digest=sha256:44ca76a5421a767f111d268f11e5d0e9401fe3cb24efb9dfda980ca059fb42c7

Observation 3d4280cf-4d10-4074-bf03-5ae41c3c9529 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.240759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.962659Z digest=sha256:e2ca6ee8b89a8ba904b3c67e1b7a24df9928ea3df3c3572afc57fc0a6a02dd8b

Observation c490d11f-7ca8-47e7-b663-03c0e79e0b9d · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.230778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.966607Z digest=sha256:4e88b931ac4bec7b660fea6d4eb1cf95ed516ab25d9510484fb674df4e8db7c3

Observation 3e0627fe-aeaa-4d2e-aa21-63b998764e5b · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.220447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.970069Z digest=sha256:e3a5f4f3d6f11288321c993d77ad7fc095a6f9dab8585510f8751ac3909692d1

Observation 70de2de0-580a-4ee8-82bf-c3305b316250 · outbound

This paper cites Driver and Maria Gordina, Heat kernel analysis on infinite-dimensional Heisenberg groups, J.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Driver and Maria Gordina, Heat kernel analysis on infinite-dimensional Heisenberg groups, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.210523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.973750Z digest=sha256:3550551c06b7fa8898e1d586269b9e7556f0697ef8e60ddcb7409f3560ecc829

Observation eff7de30-da5c-4c11-ad1a-fa0b0ac77476 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.199973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.977555Z digest=sha256:6267752c9bba1ba7579c3e3c7ef361b980a719506b26e5237dc87cab90d6db08

Observation 2aad7474-fa07-4927-ac2a-73428bb111ff · outbound

This paper cites Hara and Y.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Hara and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.190317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.980939Z digest=sha256:09ffb81a181ca95dc38862f108bbd69d7f84f5aeca98582a380010ab4b74861d

Observation ab609a0c-a55e-4f1a-9e39-5ed260a30e2c · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.180395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.984180Z digest=sha256:3314f485b03a14162afc39cf795deb89954c095f05df4687f48563efcb47b6cc

Observation 70cb7d6b-1d86-41e5-b9ce-c6e62f712b75 · outbound

This paper cites 119 (1967), 147–171.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group 119 (1967), 147–171

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.170547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.987836Z digest=sha256:5bcff74e71f8344ee1ae56f37c32c989c4521775bcfa287c059065c6e8493e31

Observation 80b1c587-7377-42d7-bbd9-798527ac8a4c · outbound

This paper cites 24, North-Holland Publishing Co., Amsterdam, 1989.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group 24, North-Holland Publishing Co., Amsterdam, 1989

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.159429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.991887Z digest=sha256:c740520ae12131184ec65b7bfe6b54aa851c0ec9f759b8854fe70ef91890bf4d

Observation 384db287-17b7-44d3-a252-86ff61ac80d1 · outbound

This paper cites Shreve, Brownian motion and stochastic calculus , second ed., Graduate Texts in Mathematics, vol.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Shreve, Brownian motion and stochastic calculus , second ed., Graduate Texts in Mathematics, vol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.148533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.994998Z digest=sha256:049551e62b9af4ec1518e63a8e6a2b29492049761c13713405251ef3dbf33688

Observation 7f19f140-2278-4294-a41a-f2fd30e006d9 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.123765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.001552Z digest=sha256:4f37b243e3d12f9ec6e6d5fd3c3a094434c1ea29d15d8a0c914d444d597e9079

Observation 4006a2c1-fca1-497c-9e71-aadb64b9ba40 · outbound

This paper cites Machlup and L.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Machlup and L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.110605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.005616Z digest=sha256:d0bc4b04ea5e9471187ebff3367e00eaa393caac53a57e3d97aa6d7df0ae6d36

Observation 2f91a045-37e8-4253-839e-a46d6843c402 · outbound

This paper cites (2) 91 (1953), 1505–.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group (2) 91 (1953), 1505–

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.096680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.009974Z digest=sha256:93db124a69216f6a5e45d507171042943262129f6921b76efc4653cb81dc24e3

Observation 7d330e45-d3a2-43d7-9eb0-11fd60b26344 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.085455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.013306Z digest=sha256:105bf4d752db2d72f5130257b290080a187f959ec6bdf8138e3dc203c223043c

Observation c68dbf81-a9b0-4bd4-babd-00a94394b093 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.074998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.016756Z digest=sha256:6ee0fdf9ec6d3f64f437b92f0ffc1d25008be8d1ce08c7accb0081bdb57eb970

Observation f6cf59be-8d75-433e-8fd8-9068fc7b9943 · outbound

This paper cites Takahashi and S.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Takahashi and S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:30:55.064627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.020054Z digest=sha256:ee6d549d040b4d8bfd3acf3ab96d0130b32415743a34671f05570b1e43838a31

Observation 08828e6a-a3f5-465b-95a0-950dabb6d852 · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:30:55.053917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:55.023550Z digest=sha256:9147a8a15a63099605351993799464870152a92815a9805b34401ee7c74d58f7

Observation b47a72e8-caf7-4012-b7bf-fc20b627945f · outbound

This paper cites an unresolved cited work.

On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group Unresolved cited work

Reference 1991

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T11:30:55.136085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:30:54.998242Z digest=sha256:350e5f5ff6d8f4f75bb796b804067061912af7e7640dafc247d29ef1ce0d0d9f

Pith citing papers

No inbound Pith citation observations are available.