Pith Number

pith:UAQ2IGCC

pith:2021:UAQ2IGCCO4IEX4J6ILTD7IX7GF

not attested not anchored not stored refs pending

Scalable computation of dynamic flow problems via multi-marginal graph-structured optimal transport

Axel Ringh, Isabel Haasler, Johan Karlsson, Yongxin Chen

arxiv:2106.14485 v1 · 2021-06-28 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAQ2IGCCO4IEX4J6ILTD7IX7GF}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Fokker-Planck to Callan-Symanzik: evolution of weight matrices under training

Receipt and verification

First computed	2026-07-05T02:52:51.306737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a021a4184277104bf13e42e63fa2ff316a61be75d725c217b332f6cf319aecc0

Aliases

arxiv: 2106.14485 · arxiv_version: 2106.14485v1 · doi: 10.48550/arxiv.2106.14485 · pith_short_12: UAQ2IGCCO4IE · pith_short_16: UAQ2IGCCO4IEX4J6 · pith_short_8: UAQ2IGCC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UAQ2IGCCO4IEX4J6ILTD7IX7GF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a021a4184277104bf13e42e63fa2ff316a61be75d725c217b332f6cf319aecc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af10e5db3b23250c7e59819745304778863fa08685df4d4fdfaf359128e64d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-28T08:55:12Z",
    "title_canon_sha256": "5765c0a0837547639a934ce2f943207db6bf22464d1f8661d0bcf2561a8c8d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14485",
    "kind": "arxiv",
    "version": 1
  }
}