Pith Number

pith:S5WSDPJU

pith:1999:S5WSDPJUP2HAU7NYPJDUOMKABC

not attested not anchored not stored refs pending

Poincare's Recurrence Theorem and the Unitarity of the S matrix

Alfredo M. Ozorio de Almeida, Raul O. Vallejos

arxiv:chao-dyn/9905010 v1 · 1999-05-08 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5WSDPJUP2HAU7NYPJDUOMKABC}

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	2026-05-18T01:40:11.412343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

976d21bd347e8e0a7db87a474731400896cace1a50f429ddb7183a9a40f02539

Aliases

arxiv: chao-dyn/9905010 · arxiv_version: chao-dyn/9905010v1 · doi: 10.48550/arxiv.chao-dyn/9905010 · pith_short_12: S5WSDPJUP2HA · pith_short_16: S5WSDPJUP2HAU7NY · pith_short_8: S5WSDPJU

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/S5WSDPJUP2HAU7NYPJDUOMKABC \
  | 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: 976d21bd347e8e0a7db87a474731400896cace1a50f429ddb7183a9a40f02539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5feb9e602c7f4a8f2275a6736199993deb5ba3d596b1d921f2dc4b77dd2c3ee9",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-05-08T20:15:24Z",
    "title_canon_sha256": "c9f9d44c6bdf32c9c4d6a878df032b296a8f1f833547bb215295e0f51714a1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9905010",
    "kind": "arxiv",
    "version": 1
  }
}