Pith Number

pith:7BZVGSGA

pith:2004:7BZVGSGAK363I3HEBZLS6SMENS

not attested not anchored not stored refs pending

Integrability versus frequency of hyperbolic times and the existence of a.c.i.m

Vitor Araujo

arxiv:math/0409544 v1 · 2004-09-28 · 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{7BZVGSGAK363I3HEBZLS6SMENS}

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	2026-05-18T04:33:37.357451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8735348c056fdb46ce40e572f49846c978de8f77b3870a7fa6d6808a093d03b

Aliases

arxiv: math/0409544 · arxiv_version: math/0409544v1 · doi: 10.48550/arxiv.math/0409544 · pith_short_12: 7BZVGSGAK363 · pith_short_16: 7BZVGSGAK363I3HE · pith_short_8: 7BZVGSGA

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/7BZVGSGAK363I3HEBZLS6SMENS \
  | 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: f8735348c056fdb46ce40e572f49846c978de8f77b3870a7fa6d6808a093d03b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9734503d9bf36ba83285cce156729e4800100dc50b94632321dee46844e1374b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-09-28T10:54:01Z",
    "title_canon_sha256": "d902c00dd6191809129766289bbf062cc414e926efce23dc878fe0c207eb0d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409544",
    "kind": "arxiv",
    "version": 1
  }
}