Pith Number

pith:OFXHVC4Y

pith:2005:OFXHVC4YF7IFFFHXAVRRQKL3GX

not attested not anchored not stored refs pending

The phase transition in random catalytic sets

Rudolf Hanel, Stefan Thurner, Stuart A. Kauffman

arxiv:cond-mat/0504776 v1 · 2005-04-29 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFXHVC4YF7IFFFHXAVRRQKL3GX}

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	2026-05-18T01:03:12.349261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

716e7a8b982fd05294f7056318297b35c78d6c457430b4ab75edf883adc28535

Aliases

arxiv: cond-mat/0504776 · arxiv_version: cond-mat/0504776v1 · doi: 10.48550/arxiv.cond-mat/0504776 · pith_short_12: OFXHVC4YF7IF · pith_short_16: OFXHVC4YF7IFFFHX · pith_short_8: OFXHVC4Y

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/OFXHVC4YF7IFFFHXAVRRQKL3GX \
  | 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: 716e7a8b982fd05294f7056318297b35c78d6c457430b4ab75edf883adc28535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3097f132cc8c9e3d2ba1ffc7d9f7f7baa785d41cf06fe967c2ee9310d3ca3c13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2005-04-29T15:59:42Z",
    "title_canon_sha256": "d619ac3d7333f981d613b042981bd834c8c48bf192db913c10476b50f8b098f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0504776",
    "kind": "arxiv",
    "version": 1
  }
}