Pith Number

pith:YH6UYGZ5

pith:2012:YH6UYGZ5DYMK7ZNBQY45N5KOWO

not attested not anchored not stored refs pending

On a problem of optimal transport under marginal martingale constraints

Mathias Beiglb\"ock, Nicolas Juillet

arxiv:1208.1509 v2 · 2012-08-07 · math.PR · math.FA · 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{YH6UYGZ5DYMK7ZNBQY45N5KOWO}

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.

Cited by

1 paper in Pith

Process Utility in High-Stakes Competition

Receipt and verification

First computed	2026-05-18T01:09:28.447302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fd4c1b3d1e18afe5a18639d6f54eb3a5713378f17b8afa0d73beeb2037789c

Aliases

arxiv: 1208.1509 · arxiv_version: 1208.1509v2 · doi: 10.48550/arxiv.1208.1509 · pith_short_12: YH6UYGZ5DYMK · pith_short_16: YH6UYGZ5DYMK7ZNB · pith_short_8: YH6UYGZ5

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/YH6UYGZ5DYMK7ZNBQY45N5KOWO \
  | 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: c1fd4c1b3d1e18afe5a18639d6f54eb3a5713378f17b8afa0d73beeb2037789c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba30dd1c64695fe5fb3f128883ec5f4ff077c51d19c53916f3b82f8ef1b7fdfe",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-07T20:03:02Z",
    "title_canon_sha256": "e308ac81fffbae780fd27d31557acec4076ae8402fe124ed4e822e63e14924db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1509",
    "kind": "arxiv",
    "version": 2
  }
}