Pith Number

pith:FTEB4YL2

pith:2011:FTEB4YL2RXNHRKJG3SQHEZ7YG5

not attested not anchored not stored refs pending

The Stochastic Nature of Complexity Evolution in the Fractional Systems

Aleksander Stanislavsky

arxiv:1111.3239 v1 · 2011-11-14 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTEB4YL2RXNHRKJG3SQHEZ7YG5}

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	2026-05-18T04:08:22.736372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc81e617a8dda78a926dca07267f8376221246240c9a2866909329ace2123e7

Aliases

arxiv: 1111.3239 · arxiv_version: 1111.3239v1 · doi: 10.48550/arxiv.1111.3239 · pith_short_12: FTEB4YL2RXNH · pith_short_16: FTEB4YL2RXNHRKJG · pith_short_8: FTEB4YL2

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/FTEB4YL2RXNHRKJG3SQHEZ7YG5 \
  | 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: 2cc81e617a8dda78a926dca07267f8376221246240c9a2866909329ace2123e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336c90a0933b0da2fc59874ed7026029370e115b3c0c7ca40326ed6dd90a71f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-14T15:10:03Z",
    "title_canon_sha256": "73995b371d34331d8d4cdf4f4211ad306f8a4dd85a4ceaa83da3906166f71291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3239",
    "kind": "arxiv",
    "version": 1
  }
}