Pith Number

pith:5CW4LLZ7

pith:2011:5CW4LLZ7VEEKOITJFNUZGIFXBG

not attested not anchored not stored refs pending

The Monge problem in Wiener Space

Fabio Cavalletti

arxiv:1103.2798 v2 · 2011-03-14 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CW4LLZ7VEEKOITJFNUZGIFXBG}

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	2026-05-18T04:26:01.278959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8adc5af3fa908a722692b699320b709a58feb96c4a06d22ef22e6832909d66c

Aliases

arxiv: 1103.2798 · arxiv_version: 1103.2798v2 · doi: 10.48550/arxiv.1103.2798 · pith_short_12: 5CW4LLZ7VEEK · pith_short_16: 5CW4LLZ7VEEKOITJ · pith_short_8: 5CW4LLZ7

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/5CW4LLZ7VEEKOITJFNUZGIFXBG \
  | 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: e8adc5af3fa908a722692b699320b709a58feb96c4a06d22ef22e6832909d66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616f8cbc2ebd0d8ce85199040f3a725a92027131c94f51aba22d34aa2750e398",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-14T21:55:59Z",
    "title_canon_sha256": "d75288f494c8d6aee85e32dd2f950557c237b9a2574d30ad145cf5e94960e830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2798",
    "kind": "arxiv",
    "version": 2
  }
}