Pith Number

pith:5RTIQ4PE

pith:2007:5RTIQ4PEQE4DXITUSBFVDXYAEY

not attested not anchored not stored refs pending

Critical line in undirected Kauffman boolean networks - the role of percolation

Agata Fronczak, Piotr Fronczak

arxiv:0712.0882 v1 · 2007-12-06 · cond-mat.dis-nn · 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{5RTIQ4PEQE4DXITUSBFVDXYAEY}

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	2026-05-18T02:16:08.751512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec668871e481383ba274904b51df00261e2b561ca57a8f85ffd9e454e89aad93

Aliases

arxiv: 0712.0882 · arxiv_version: 0712.0882v1 · doi: 10.48550/arxiv.0712.0882 · pith_short_12: 5RTIQ4PEQE4D · pith_short_16: 5RTIQ4PEQE4DXITU · pith_short_8: 5RTIQ4PE

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/5RTIQ4PEQE4DXITUSBFVDXYAEY \
  | 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: ec668871e481383ba274904b51df00261e2b561ca57a8f85ffd9e454e89aad93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b129f483d8c98ffb419f88f7863168e83feb601b0c6d8ed1e521742ac3be503",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2007-12-06T07:52:48Z",
    "title_canon_sha256": "82c61bbdffaed268ba621eb4bea1bb6aaa49adc70a6fc060e794b8291ec4459a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0882",
    "kind": "arxiv",
    "version": 1
  }
}