Pith Number

pith:G6Z3ROXQ

pith:2010:G6Z3ROXQMMJEBCMELD77CAFWMY

not attested not anchored not stored refs pending

Asymptotic Synchronization for Finite-State Sources

James P. Crutchfield, Nicholas F. Travers

arxiv:1011.1581 v2 · 2010-11-06 · nlin.CD · cs.IT · math.DS · math.IT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6Z3ROXQMMJEBCMELD77CAFWMY}

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	2026-05-18T02:04:50.769682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b3b8baf0631240898458fff100b6661e233e105ed80a59adc8a70735dab315

Aliases

arxiv: 1011.1581 · arxiv_version: 1011.1581v2 · doi: 10.48550/arxiv.1011.1581 · pith_short_12: G6Z3ROXQMMJE · pith_short_16: G6Z3ROXQMMJEBCME · pith_short_8: G6Z3ROXQ

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/G6Z3ROXQMMJEBCMELD77CAFWMY \
  | 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: 37b3b8baf0631240898458fff100b6661e233e105ed80a59adc8a70735dab315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b9d1bba930fa75e29583e7b8e780588896d6b394ea6fb783ac42eaf677c41d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DS",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-11-06T19:06:51Z",
    "title_canon_sha256": "24678e5c3d83dba062f643916981f5145e9a8bfa162538a4f5024f3c4a159680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1581",
    "kind": "arxiv",
    "version": 2
  }
}