Pith Number

pith:Z2ZUXBCI

pith:2012:Z2ZUXBCI67KRXN2VLSPP43XMSB

not attested not anchored not stored refs pending

Fonction complexit\'e associ\'ee \`a une application ergodique du tore

Jean-Fran\c{c}ois Bertazzon

arxiv:1202.4560 v1 · 2012-02-21 · math.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2ZUXBCI67KRXN2VLSPP43XMSB}

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	2026-05-18T02:57:53.789876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb34b8448f7d51bb7555c9efe6eec9061dba9567cd2508fcb23cbd801b4a6dd

Aliases

arxiv: 1202.4560 · arxiv_version: 1202.4560v1 · doi: 10.48550/arxiv.1202.4560 · pith_short_12: Z2ZUXBCI67KR · pith_short_16: Z2ZUXBCI67KRXN2V · pith_short_8: Z2ZUXBCI

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/Z2ZUXBCI67KRXN2VLSPP43XMSB \
  | 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: ceb34b8448f7d51bb7555c9efe6eec9061dba9567cd2508fcb23cbd801b4a6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6695e8aff6d4a4bc882d17f30d3b5a7a69e4050c81fcc9a49bfad363b97420",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-21T09:04:15Z",
    "title_canon_sha256": "101653b368e4f8883633657d88cbd1be6427bf19bfd5f66144cdd7e461d13fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4560",
    "kind": "arxiv",
    "version": 1
  }
}