Pith Number

pith:3LN76OHN

pith:2011:3LN76OHN6EQYSF5RMCWRZUWM64

not attested not anchored not stored refs pending

Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

Gemma Huguet, Rafael de la Llave, Yannick Sire

arxiv:1102.2461 v1 · 2011-02-11 · 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{3LN76OHN6EQYSF5RMCWRZUWM64}

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	2026-05-18T04:28:47.361438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadbff38edf1218917b160ad1cd2ccf70e195ec6b7fb5c212127dbc4f8e98f04

Aliases

arxiv: 1102.2461 · arxiv_version: 1102.2461v1 · doi: 10.48550/arxiv.1102.2461 · pith_short_12: 3LN76OHN6EQY · pith_short_16: 3LN76OHN6EQYSF5R · pith_short_8: 3LN76OHN

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/3LN76OHN6EQYSF5RMCWRZUWM64 \
  | 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: dadbff38edf1218917b160ad1cd2ccf70e195ec6b7fb5c212127dbc4f8e98f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad2f38f0d1cf1fa88bf553f9f2e64d356bf62507b8082ec4e820aced2d44a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-11T23:37:56Z",
    "title_canon_sha256": "7187da98ca1d18d0639cf810f0b5272fe133b1387ebb3ec0b50b5dff6bc0ecd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2461",
    "kind": "arxiv",
    "version": 1
  }
}