Pith Number

pith:7GI4ACST

pith:2012:7GI4ACST3PAR2LW66HBKTLCPLS

not attested not anchored not stored refs pending

Wasserstein gradient flows from large deviations of thermodynamic limits

Manh Hong Duong, Michiel Renger, Vaios Laschos

arxiv:1203.0676 v2 · 2012-03-03 · math.AP · math-ph · math.MP · 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{7GI4ACST3PAR2LW66HBKTLCPLS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T03:59:04.292532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f991c00a53dbc11d2edef1c2a9ac4f5c901cfc815132bb69abb52d073cfe37a5

Aliases

arxiv: 1203.0676 · arxiv_version: 1203.0676v2 · doi: 10.48550/arxiv.1203.0676 · pith_short_12: 7GI4ACST3PAR · pith_short_16: 7GI4ACST3PAR2LW6 · pith_short_8: 7GI4ACST

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/7GI4ACST3PAR2LW66HBKTLCPLS \
  | 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: f991c00a53dbc11d2edef1c2a9ac4f5c901cfc815132bb69abb52d073cfe37a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebebed5236360b6d1defbc8ffd1b9861349b316b733a553dc8eea721969cec36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-03T18:33:15Z",
    "title_canon_sha256": "0a106523e13c8e4d21e309fcb3ebf48f042b9ea604e74d514bdc87435de62b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0676",
    "kind": "arxiv",
    "version": 2
  }
}