Pith Number

pith:U3JNXOU5

pith:2010:U3JNXOU5WB2MPE6SQCCRBLOIHX

not attested not anchored not stored refs pending

Internal perturbations of homoclinic classes:non-domination, cycles, and self-replication

Ch. Bonatti, L. J. D\'iaz, N. Gourmelon, S. Crovisier

arxiv:1011.2935 v1 · 2010-11-12 · 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{U3JNXOU5WB2MPE6SQCCRBLOIHX}

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	2026-05-18T04:35:04.441584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d2dbba9db074c793d2808510adc83df4efb5598daa48edb9f51cdff24261ac

Aliases

arxiv: 1011.2935 · arxiv_version: 1011.2935v1 · doi: 10.48550/arxiv.1011.2935 · pith_short_12: U3JNXOU5WB2M · pith_short_16: U3JNXOU5WB2MPE6S · pith_short_8: U3JNXOU5

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/U3JNXOU5WB2MPE6SQCCRBLOIHX \
  | 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: a6d2dbba9db074c793d2808510adc83df4efb5598daa48edb9f51cdff24261ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabe0517faf81243b7866ce9a8a0330a438679025c5a71a3a76b2e2f14498b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-12T15:01:25Z",
    "title_canon_sha256": "e7a4452bb020b472f2024c351e615f57657231c7102bd59a3cd626c231f16c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2935",
    "kind": "arxiv",
    "version": 1
  }
}