Pith Number

pith:CMYGQOTH

pith:2024:CMYGQOTHHJOIH2SVTLJGHHUGQZ

not attested not anchored not stored refs pending

Optimal transport in the frame of abstract Lax-Oleinik operator revisited

Jiahui Hong, Tianqi Shi, Wei Cheng

arxiv:2402.04159 v1 · 2024-02-06 · math.AP · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMYGQOTHHJOIH2SVTLJGHHUGQZ}

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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

Singularities and their propagation in optimal transport

Receipt and verification

First computed	2026-07-05T07:42:04.094382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1330683a673a5c83ea559ad2639e86866aad47a9ae6ed735594f79b258fc5c38

Aliases

arxiv: 2402.04159 · arxiv_version: 2402.04159v1 · doi: 10.48550/arxiv.2402.04159 · pith_short_12: CMYGQOTHHJOI · pith_short_16: CMYGQOTHHJOIH2SV · pith_short_8: CMYGQOTH

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/CMYGQOTHHJOIH2SVTLJGHHUGQZ \
  | 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: 1330683a673a5c83ea559ad2639e86866aad47a9ae6ed735594f79b258fc5c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1a56fee79c88c94cb5b06f8a3642d8df9198f192e5ffb229ce9bb2afcc899b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-06T17:16:46Z",
    "title_canon_sha256": "f1b1afd6691da261d7f3afb5c7bdff989a3496cb15915f21c07944a331a80170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04159",
    "kind": "arxiv",
    "version": 1
  }
}