Pith Number

pith:YOG3GKSF

pith:2013:YOG3GKSFIWLXV62IJWGVT6RNQS

not attested not anchored not stored refs pending

Poincar\'e-Birkhoff theorems in random dynamics

\'Alvaro Pelayo, Fraydoun Rezakhanlou

arxiv:1306.0821 v2 · 2013-06-04 · math.DS · math.PR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOG3GKSFIWLXV62IJWGVT6RNQS}

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	2026-05-18T02:32:00.367913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38db32a4545977afb484d8d59fa2d84baf742f417e935319edb91f9b79963ad

Aliases

arxiv: 1306.0821 · arxiv_version: 1306.0821v2 · doi: 10.48550/arxiv.1306.0821 · pith_short_12: YOG3GKSFIWLX · pith_short_16: YOG3GKSFIWLXV62I · pith_short_8: YOG3GKSF

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/YOG3GKSFIWLXV62IJWGVT6RNQS \
  | 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: c38db32a4545977afb484d8d59fa2d84baf742f417e935319edb91f9b79963ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac35d4fe76ae46f59e942e7b033e079bde3eb1fb7b46f83a3b90b52c73fa658",
    "cross_cats_sorted": [
      "math.PR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-04T14:53:18Z",
    "title_canon_sha256": "c3111e8d60163188cdc32aafe753880f0e8939ee09be183a6efd2744e7e5ea9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0821",
    "kind": "arxiv",
    "version": 2
  }
}