Pith Number

pith:3FNBSOAM

pith:2013:3FNBSOAMXFO3EDW2DOVDNNKNZL

not attested not anchored not stored refs pending

Maximizing measures for expanding transformations

Artur Lopes, Gonzalo Contreras, Phillipe Thieullen

arxiv:1307.0533 v1 · 2013-07-01 · 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{3FNBSOAMXFO3EDW2DOVDNNKNZL}

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	2026-05-18T03:19:25.360197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95a19380cb95db20eda1baa36b54dcad9405e16dd0fed26d35da9bf06d4b1bb

Aliases

arxiv: 1307.0533 · arxiv_version: 1307.0533v1 · doi: 10.48550/arxiv.1307.0533 · pith_short_12: 3FNBSOAMXFO3 · pith_short_16: 3FNBSOAMXFO3EDW2 · pith_short_8: 3FNBSOAM

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/3FNBSOAMXFO3EDW2DOVDNNKNZL \
  | 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: d95a19380cb95db20eda1baa36b54dcad9405e16dd0fed26d35da9bf06d4b1bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7840723cb381580d3aaefc85e5d764a058f22d2afdfd186e5afd37e1c3c047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-01T21:03:49Z",
    "title_canon_sha256": "509b33bef623dcf08a936aa3d798c8e4d165c4ea48483397d5b98d6a95bdd332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0533",
    "kind": "arxiv",
    "version": 1
  }
}