Pith Number

pith:CQE3ES7S

pith:2022:CQE3ES7SPBNE6S6XHHIX3DPQKC

not attested not anchored not stored refs pending

Face and cycle percolation

Christian Hirsch, Daniel Valesin

arxiv:2212.06243 v1 · 2022-12-12 · 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{CQE3ES7SPBNE6S6XHHIX3DPQKC}

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.

Cited by

1 paper in Pith

A Topological Formula for Potts Lattice Gauge Theory Correlations

Receipt and verification

First computed	2026-07-05T05:24:48.065891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1409b24bf2785a4f4bd739d17d8df050bbdc2c1c83deca7f3c1340ea742f1790

Aliases

arxiv: 2212.06243 · arxiv_version: 2212.06243v1 · doi: 10.48550/arxiv.2212.06243 · pith_short_12: CQE3ES7SPBNE · pith_short_16: CQE3ES7SPBNE6S6X · pith_short_8: CQE3ES7S

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/CQE3ES7SPBNE6S6XHHIX3DPQKC \
  | 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: 1409b24bf2785a4f4bd739d17d8df050bbdc2c1c83deca7f3c1340ea742f1790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e974fcba99208bb3f8c258cf432a9a0bc0f689403db75b7feb1fa4e1b219da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-12T20:58:17Z",
    "title_canon_sha256": "7dad6fbd0d93ce8e58efc682d482290f386d8afa85de7dc0190ca0e17bae50dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06243",
    "kind": "arxiv",
    "version": 1
  }
}