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Paper Citation Record · LEDGER

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2501.10051.

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

pith.paper-citation-record.v1
2501.10051 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:35:19.485529Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:50:56.008589Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T02:54:10.166321Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact4
  • verified fuzzy10
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36966031-c2c6-4012-acea-548abb0fc301 · outbound

This paper cites Attouch and J.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Attouch and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.897096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.372037Z digest=sha256:17e36398642e5ce00c1a3e46f7703e985922e8248e31fd7b4fed73b6e1703528

Observation ede86e02-67b7-483b-9e84-49602bfff0f4 · outbound

This paper cites Attouch, P.-E.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Attouch, P.-E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.881664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3aebd4a0-eeba-4097-99f1-b2ff0e9d35b4 · outbound

This paper cites Attouch, J.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Attouch, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.865945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f26bb84b-a750-4b28-b667-0a26a049ba10 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T19:35:19.387756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:35:19.387756Z digest=sha256:834a467a5323b24479c98265d9b26a8cf5f0f7c319b481540a377c58293b9193

Observation ed390761-d6e7-4bea-b20d-eb54d36ff06c · outbound

This paper cites Beck and M.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Beck and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.839554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.393495Z digest=sha256:85daf0d3506a0f025aea09d74da23c3ca0e197c1214df6ea94eab70a8b588ed1

Observation 95fb41fb-0cff-43b4-9955-a53b225618d6 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.824137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c0578ae3-b086-44e8-b2c9-ea24581f8131 · outbound

This paper cites Chambolle and T.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Chambolle and T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.808994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.404416Z digest=sha256:9cab9edcfc70203a104773466c253a0848632745d919101d9647bf9104a9584a

Observation 460e295a-2801-4842-9ab3-4d8d63128acd · outbound

This paper cites Gradient Norm Minimization of Nesterov Acceleration: $o(1/k^3)$.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Gradient Norm Minimization of Nesterov Acceleration: $o(1/k^3)$

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T19:35:19.410075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:35:19.410075Z digest=sha256:a30b3ca7987fab835db776a01ac68b6120a003284afdf43c34a08192c0d0d462

Observation 194f0cc0-ee06-4fcb-b8d5-7b5a7df014e9 · outbound

This paper cites Revisiting the acceleration phenomenon via high-resolution differential equations.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Revisiting the acceleration phenomenon via high-resolution differential equations

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:35:19.619115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.415135Z digest=sha256:014278e568ceccdf1632dfdf1bfd839275316355fe1c870f85d8f1a20877a1a6

Observation 10bc23ed-219d-4b73-be39-fbaaa8d58ae5 · outbound

This paper cites On Underdamped Nesterov's Acceleration.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms On Underdamped Nesterov's Acceleration

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:35:19.596089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.420425Z digest=sha256:1ad2d3809152d1964a5d121db05fdeb15658210f53ce189fadfc3ba76235f86d

Observation 5be70913-fb09-426c-89d4-c9765c903b45 · outbound

This paper cites Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T19:35:19.425496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:35:19.425496Z digest=sha256:80b8b872d04f3bef83c1d749d726bda2ff0fe0af2fba5c0999168a64eb579623

Observation 3fc2f6f9-84eb-47c6-97c7-3e5b8ddc3546 · outbound

This paper cites Giselsson and S.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Giselsson and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.792938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.430324Z digest=sha256:c116153aa28f53ffeae0df680d88982233ceaed0201c494528cc765908256864

Observation 6cee7853-81a2-47a1-8b89-414e5d75d063 · outbound

This paper cites Linear Convergence of ISTA and FISTA.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Linear Convergence of ISTA and FISTA

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:35:19.554459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.434947Z digest=sha256:d534f0ca3934300728eb59d370154e6e94df2cebc274e3c8ebe55076d89b046e

Observation 2ba8430e-8d16-451f-94e5-c63b6e4474ec · outbound

This paper cites Proximal Subgradient Norm Minimization of ISTA and FISTA.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Proximal Subgradient Norm Minimization of ISTA and FISTA

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:35:19.530666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.440136Z digest=sha256:44af93aa959e6e04739da2bd413dcf23e989d716969ee20123aa7f62c4c52525

Observation 5dbc7e84-dfe0-4391-8f99-45c6eab6f97a · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.777147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.445132Z digest=sha256:a692502c0ea0058e344f71c79159e2f8dcbfa7647689d9307f2448d48d612c9f

Observation 4fa5d22e-bc26-4cdd-92d2-d69cf08829a7 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.761983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.450241Z digest=sha256:11772a4fca2eb3e1151f45ca4c6f030291104d4764956abbe01a00d3c224fbd1

Observation 82a20c48-c966-4f2a-af6c-42f4fb6d4997 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.745759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.454974Z digest=sha256:4b0a0ffb230297c371cb5d7f6d383c7cad1cda46653a55e8bf30dd8dd32d47de

Observation e6e1426b-3c66-461b-aa25-06f4640870a6 · outbound

This paper cites Nesterov.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Nesterov

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.729102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.460021Z digest=sha256:c6b8f3c7d3c7edee25a2330c1f8bfd5a84ff3a16ad1534a836c87a3cea338aa1

Observation 7103f4d5-fbbf-47a3-b5a2-b29bc95a2ac2 · outbound

This paper cites Nesterov.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Nesterov

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.711423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.465216Z digest=sha256:14906a462dbac23ef7c13c08dd47ec44b17cd2eb017a8003971bffd3b68e1464

Observation dbd49e15-7caf-4869-9a7b-9375993aca11 · outbound

This paper cites O’Donoghue and E.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms O’Donoghue and E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.694937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 354af1f9-a5c5-42cd-9647-115871299169 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.680182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.475420Z digest=sha256:95c57af49c6f81014061e2e63f238543018f6c71f294f19e9aa3b95eac68c222

Observation 393a4555-a1d8-49bb-8bc6-f1af41d9f4b1 · outbound

This paper cites an unresolved cited work.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:35:19.665351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.480314Z digest=sha256:ed36f465e9548fd21c982430ad713a00e75fc14622c3486aa598a814ed782d13

Observation 9ef918f9-c029-4107-8a35-c9558bfe845b · outbound

This paper cites Wibisono, A.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Wibisono, A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:35:19.651015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T19:35:19.485529Z digest=sha256:06276b04b595ac5aafd8e103cba20394daf8814ced26409264d7b5b181896b86

Pith citing papers

Observation 2423c944-d59f-47aa-a04e-a8b61eda45de · inbound

Modern Theory of Gradient-Based Optimization cites this paper.

Modern Theory of Gradient-Based Optimization A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-30T02:54:10.168887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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