Pith Number

pith:7LQIZHXD

pith:2003:7LQIZHXDEO5MVYMPSS32EUZKQ7

not attested not anchored not stored refs pending

Hyperbolic times: frequency vs. integrability

Jose F. Alves, Vitor Araujo

arxiv:math/0311440 v1 · 2003-11-25 · 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{7LQIZHXDEO5MVYMPSS32EUZKQ7}

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	2026-05-18T04:28:28.152753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae08c9ee323bacae18f94b7a2532a87cd169cfb10a65ab23cf27c1cbcec3d61

Aliases

arxiv: math/0311440 · arxiv_version: math/0311440v1 · doi: 10.48550/arxiv.math/0311440 · pith_short_12: 7LQIZHXDEO5M · pith_short_16: 7LQIZHXDEO5MVYMP · pith_short_8: 7LQIZHXD

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/7LQIZHXDEO5MVYMPSS32EUZKQ7 \
  | 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: fae08c9ee323bacae18f94b7a2532a87cd169cfb10a65ab23cf27c1cbcec3d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9734503d9bf36ba83285cce156729e4800100dc50b94632321dee46844e1374b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-11-25T14:42:54Z",
    "title_canon_sha256": "c67f64f39588a8029e778dae2eb3efaeed80e1499c2771e021cbac0825934d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311440",
    "kind": "arxiv",
    "version": 1
  }
}