Pith Number

pith:74QNB2XJ

pith:2010:74QNB2XJMARD5NVVKTIWBIR3RD

not attested not anchored not stored refs pending

Parabolic optimal transport equations on manifolds

Jeffrey Streets, Micah Warren, Young-Heon Kim

arxiv:1008.3824 v1 · 2010-08-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74QNB2XJMARD5NVVKTIWBIR3RD}

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	2026-05-18T04:41:55.142809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff20d0eae960223eb6b554d160a23b88e688f4e24d2ad19be0297953e528d1ed

Aliases

arxiv: 1008.3824 · arxiv_version: 1008.3824v1 · doi: 10.48550/arxiv.1008.3824 · pith_short_12: 74QNB2XJMARD · pith_short_16: 74QNB2XJMARD5NVV · pith_short_8: 74QNB2XJ

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/74QNB2XJMARD5NVVKTIWBIR3RD \
  | 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: ff20d0eae960223eb6b554d160a23b88e688f4e24d2ad19be0297953e528d1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfa9f290bc7d2f159e2e8a63bc006201cad9e51e5bbc68ce1535e132b074244",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-23T14:06:26Z",
    "title_canon_sha256": "6c06d2aae67856ba32094aba157e58a1303ca0c3c507ac8676dc7d56ec437601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3824",
    "kind": "arxiv",
    "version": 1
  }
}