Pith Number

pith:NF67J4SI

pith:2007:NF67J4SICOZVETST3AMSSD3RKW

not attested not anchored not stored refs pending

Percolation on nonunimodular transitive graphs

\'Ad\'am Tim\'ar

arxiv:math/0702875 v1 · 2007-02-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF67J4SICOZVETST3AMSSD3RKW}

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	2026-05-18T01:09:15.302629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697df4f24813b3524e53d819290f7155921f58a64387418cae9c0b19c93064a7

Aliases

arxiv: math/0702875 · arxiv_version: math/0702875v1 · doi: 10.48550/arxiv.math/0702875 · pith_short_12: NF67J4SICOZV · pith_short_16: NF67J4SICOZVETST · pith_short_8: NF67J4SI

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/NF67J4SICOZVETST3AMSSD3RKW \
  | 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: 697df4f24813b3524e53d819290f7155921f58a64387418cae9c0b19c93064a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b644230345bfbda6446135b0df5922cdaf37d4228ae9b94191106fe4bd436e84",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-02-28T11:52:28Z",
    "title_canon_sha256": "6d5ffca3945aa075dfb1daf5db75dcc2b961bd87f46ff992ee29f767cf83338f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702875",
    "kind": "arxiv",
    "version": 1
  }
}