Pith Number

pith:Y2LDMSOB

pith:2013:Y2LDMSOBSV77CFGDZVNMYP7LFG

not attested not anchored not stored refs pending

Kac's chaos and Kac's program

St\'ephane Mischler (CEREMADE)

arxiv:1311.7544 v2 · 2013-11-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2LDMSOBSV77CFGDZVNMYP7LFG}

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	2026-05-18T02:55:13.157781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6963649c1957ff114c3cd5acc3feb29a7ca4f6f25a611a19eadeef92a39d434

Aliases

arxiv: 1311.7544 · arxiv_version: 1311.7544v2 · doi: 10.48550/arxiv.1311.7544 · pith_short_12: Y2LDMSOBSV77 · pith_short_16: Y2LDMSOBSV77CFGD · pith_short_8: Y2LDMSOB

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/Y2LDMSOBSV77CFGDZVNMYP7LFG \
  | 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: c6963649c1957ff114c3cd5acc3feb29a7ca4f6f25a611a19eadeef92a39d434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89bddaf6f304a9a85f6e82feec31239e77c5a3ef05474fd2b92d47f2496d4a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-29T12:35:22Z",
    "title_canon_sha256": "98f51f6ab6ef0f21d96de6a1fdbb8dada3f1930281aac0ff2db70ea97655eb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7544",
    "kind": "arxiv",
    "version": 2
  }
}