Pith Number

pith:5JKOKXVV

pith:2013:5JKOKXVVQ53UE2AMWQUABFDKO2

not attested not anchored not stored refs pending

SRB measures for hyperbolic polygonal billiards

Diogo Pinheiro, Gianluigi Del Magno, Jo\~ao Lopes Dias, Jos\'e Pedro Gaiv\~ao, Pedro Duarte

arxiv:1302.1462 v1 · 2013-02-06 · 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{5JKOKXVVQ53UE2AMWQUABFDKO2}

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	2026-05-18T03:34:24.186303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea54e55eb5877742680cb42800946a76815d03de9f7181a4f0cd33a4ad6ac42f

Aliases

arxiv: 1302.1462 · arxiv_version: 1302.1462v1 · doi: 10.48550/arxiv.1302.1462 · pith_short_12: 5JKOKXVVQ53U · pith_short_16: 5JKOKXVVQ53UE2AM · pith_short_8: 5JKOKXVV

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/5JKOKXVVQ53UE2AMWQUABFDKO2 \
  | 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: ea54e55eb5877742680cb42800946a76815d03de9f7181a4f0cd33a4ad6ac42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2025a685287270061b6160d81697ca614cfed806cc0aa8412f517964b95712e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-06T18:15:41Z",
    "title_canon_sha256": "84badb1d589907447a0ec811cc06d35f4fef8f6c5dc760fdc57613ae906bc688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1462",
    "kind": "arxiv",
    "version": 1
  }
}