Pith Number

pith:S4QCH2EF

pith:2012:S4QCH2EFAKUSGRB5CYHLBTQWQJ

not attested not anchored not stored refs pending

The computation of generalized percolation critical polynomials by the deletion-contraction algorithm

Christian R. Scullard

arxiv:1207.3340 v1 · 2012-07-13 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4QCH2EFAKUSGRB5CYHLBTQWQJ}

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	2026-05-18T01:56:23.816282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972023e88502a923443d160eb0ce168253aba7b9cfc46556be129da4f92366a5

Aliases

arxiv: 1207.3340 · arxiv_version: 1207.3340v1 · doi: 10.48550/arxiv.1207.3340 · pith_short_12: S4QCH2EFAKUS · pith_short_16: S4QCH2EFAKUSGRB5 · pith_short_8: S4QCH2EF

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/S4QCH2EFAKUSGRB5CYHLBTQWQJ \
  | 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: 972023e88502a923443d160eb0ce168253aba7b9cfc46556be129da4f92366a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15363757a0fa84942f039e1206e45ccb3cd379ac986dbaf076a00b35c9508b26",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-13T19:49:22Z",
    "title_canon_sha256": "4ce188d63cfa3ce68c7b01b27122eb13043512b9753b4c20a049d76aa8ccc5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3340",
    "kind": "arxiv",
    "version": 1
  }
}