Pith Number

pith:CP526EBT

pith:2013:CP526EBTMLFOJUEYKKP452ZJSW

not attested not anchored not stored refs pending

Expanding actions: minimality and ergodicity

Abbas Fakhari, Ali Sarizadeh, Dominique Malicet, Pablo G. Barrientos

arxiv:1307.6054 v3 · 2013-07-23 · 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{CP526EBTMLFOJUEYKKP452ZJSW}

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	2026-05-18T00:26:52.317482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fbaf103362cae4d098529fceeb2995a30e702fd98073fc620c2f0402f91f75

Aliases

arxiv: 1307.6054 · arxiv_version: 1307.6054v3 · doi: 10.48550/arxiv.1307.6054 · pith_short_12: CP526EBTMLFO · pith_short_16: CP526EBTMLFOJUEY · pith_short_8: CP526EBT

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/CP526EBTMLFOJUEYKKP452ZJSW \
  | 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: 13fbaf103362cae4d098529fceeb2995a30e702fd98073fc620c2f0402f91f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe88eee7a175835f66bddb69d959bb0e873191fd49d50917f29ddbb11813444",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-23T13:04:45Z",
    "title_canon_sha256": "0a9a1141a287fdbb3afc3abb0b1851b68b9d410ca5fb15ba6fe328d922145f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6054",
    "kind": "arxiv",
    "version": 3
  }
}