Pith Number

pith:YGYBAS2B

pith:2011:YGYBAS2BUTGILKSIG3HWM2VPIO

not attested not anchored not stored refs pending

Optimal transport on the classical Wiener space with different norms

Vincent Nolot

arxiv:1111.1938 v6 · 2011-11-08 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGYBAS2BUTGILKSIG3HWM2VPIO}

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	2026-05-18T03:35:38.741906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b0104b41a4cc85aa4836cf666aaf43ad156f3d861c76570fc3c3506c9fd9f6

Aliases

arxiv: 1111.1938 · arxiv_version: 1111.1938v6 · doi: 10.48550/arxiv.1111.1938 · pith_short_12: YGYBAS2BUTGI · pith_short_16: YGYBAS2BUTGILKSI · pith_short_8: YGYBAS2B

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/YGYBAS2BUTGILKSIG3HWM2VPIO \
  | 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: c1b0104b41a4cc85aa4836cf666aaf43ad156f3d861c76570fc3c3506c9fd9f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45675311a9bba7272aa852d65377cce6a0f62463000d9cb47ebb1c3cb5458480",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-08T15:29:05Z",
    "title_canon_sha256": "dd680869cfab9678e8d1da0c81130950b1bc4785571e70f8b01427334bc5787d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1938",
    "kind": "arxiv",
    "version": 6
  }
}