Pith Number

pith:LF57DIH7

pith:2011:LF57DIH72SELPRCQGWA7QXRO6K

not attested not anchored not stored refs pending

Direct Counting Analysis on Network Generated by Discrete Dynamics

Chia-Chu Chen, Shu-Hao Liou

arxiv:1104.1021 v1 · 2011-04-06 · physics.data-an · math-ph · math.MP · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LF57DIH72SELPRCQGWA7QXRO6K}

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	2026-05-18T02:02:37.360630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597bf1a0ffd488b7c4503581f85e2ef28d48573c914d159df665e7d3143b27a1

Aliases

arxiv: 1104.1021 · arxiv_version: 1104.1021v1 · doi: 10.48550/arxiv.1104.1021 · pith_short_12: LF57DIH72SEL · pith_short_16: LF57DIH72SELPRCQ · pith_short_8: LF57DIH7

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/LF57DIH72SELPRCQGWA7QXRO6K \
  | 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: 597bf1a0ffd488b7c4503581f85e2ef28d48573c914d159df665e7d3143b27a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbe9b231b28ea7fbc51e7f06782b54b75052559a1d6fd6be4830c0369a06a5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2011-04-06T07:19:02Z",
    "title_canon_sha256": "d2946b8b64116c38f20b20530cefbef3ea32bcacce372d38aa489d0344c44a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1021",
    "kind": "arxiv",
    "version": 1
  }
}