Pith Number

pith:CZ73DGXG

pith:2015:CZ73DGXGOS6A56FTTUEKPLTXQV

not attested not anchored not stored refs pending

A Garden of Eden theorem for Anosov diffeomorphisms on tori

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:1506.06945 v8 · 2015-06-23 · 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{CZ73DGXGOS6A56FTTUEKPLTXQV}

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	2026-05-18T01:04:00.204021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167fb19ae674bc0ef8b39d08a7ae778567feac4848b23a894526b6b8cb248ab1

Aliases

arxiv: 1506.06945 · arxiv_version: 1506.06945v8 · doi: 10.48550/arxiv.1506.06945 · pith_short_12: CZ73DGXGOS6A · pith_short_16: CZ73DGXGOS6A56FT · pith_short_8: CZ73DGXG

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/CZ73DGXGOS6A56FTTUEKPLTXQV \
  | 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: 167fb19ae674bc0ef8b39d08a7ae778567feac4848b23a894526b6b8cb248ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1923ecf6c5f4376b3eef7b09190a8be01bf4706bbef3903c1aa28c3b35ad2611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-23T11:14:20Z",
    "title_canon_sha256": "6912857097a25e724d733987b3975db5d66de60ebf659f7aa35ed00e778b57dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06945",
    "kind": "arxiv",
    "version": 8
  }
}