Pith Number

pith:THBT5CMW

pith:2010:THBT5CMWX7Z2PXS6QM7WQQTRKJ

not attested not anchored not stored refs pending

Models and applications of Optimal Transport in Economics, Traffic and Urban Planning

Filippo Santambrogio (CEREMADE)

arxiv:1009.3857 v1 · 2010-09-20 · math.CA · math.AP · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THBT5CMWX7Z2PXS6QM7WQQTRKJ}

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	2026-05-18T04:40:43.683951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c33e8996bff3a7de5e833f68427152678f18e122c98c22bec0d892c31a1943

Aliases

arxiv: 1009.3857 · arxiv_version: 1009.3857v1 · doi: 10.48550/arxiv.1009.3857 · pith_short_12: THBT5CMWX7Z2 · pith_short_16: THBT5CMWX7Z2PXS6 · pith_short_8: THBT5CMW

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/THBT5CMWX7Z2PXS6QM7WQQTRKJ \
  | 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: 99c33e8996bff3a7de5e833f68427152678f18e122c98c22bec0d892c31a1943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce5a861addd433994801f43ed3c76ed4515147515a36a958eab8bb79f2b1dd6",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-20T15:43:22Z",
    "title_canon_sha256": "e7f9b486ed867b7645289bdc6037a7dcdee070a4b713f3be7d2367c14b431fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3857",
    "kind": "arxiv",
    "version": 1
  }
}