Pith Number

pith:ATDD3LWC

pith:2015:ATDD3LWCF34A257J4AYUDOHOVO

not attested not anchored not stored refs pending

The intrinsic dynamics of optimal transport

Ludovic Rifford, Robert J. McCann

arxiv:1505.00830 v1 · 2015-05-04 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATDD3LWCF34A257J4AYUDOHOVO}

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	2026-05-18T00:25:29.528087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c63daec22ef80d77e9e03141b8eeabbbccc05212032e81860e15c9e97c70b8

Aliases

arxiv: 1505.00830 · arxiv_version: 1505.00830v1 · doi: 10.48550/arxiv.1505.00830 · pith_short_12: ATDD3LWCF34A · pith_short_16: ATDD3LWCF34A257J · pith_short_8: ATDD3LWC

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/ATDD3LWCF34A257J4AYUDOHOVO \
  | 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: 04c63daec22ef80d77e9e03141b8eeabbbccc05212032e81860e15c9e97c70b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c25276ac5ea14c83a167f5a8e7ecd7643a6f4109ff061c06dc1969739f712b2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-04T22:17:02Z",
    "title_canon_sha256": "39f2083b85b095c0c7759679700a5f0fbc0ec1ab7dc31ac3d397f4edd3b7f728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00830",
    "kind": "arxiv",
    "version": 1
  }
}