Pith Number

pith:CIBC6PKX

pith:2019:CIBC6PKXDIDCSRMQLS5XUMSURK

not attested not anchored not stored refs pending

A positivity phenomenon in Elser's Gaussian-cluster percolation model

Cyrus Hettle, David C. Livingston, Galen Dorpalen-Barry, George Nasr, Hays Whitlatch, Jeremy L. Martin, Julianne Vega

arxiv:1905.11330 v6 · 2019-05-27 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIBC6PKXDIDCSRMQLS5XUMSURK}

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	2026-07-05T04:49:20.443788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12022f3d571a062945905cbb7a32548aab6fb96b4faa617f924d1f1fa0121bf6

Aliases

arxiv: 1905.11330 · arxiv_version: 1905.11330v6 · doi: 10.48550/arxiv.1905.11330 · pith_short_12: CIBC6PKXDIDC · pith_short_16: CIBC6PKXDIDCSRMQ · pith_short_8: CIBC6PKX

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/CIBC6PKXDIDCSRMQLS5XUMSURK \
  | 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: 12022f3d571a062945905cbb7a32548aab6fb96b4faa617f924d1f1fa0121bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306b7552f1609dd5f7134a3cb0a1f9a8c9e0c6064837525073bc86f246a97a5f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-27T16:28:14Z",
    "title_canon_sha256": "d6170b18bd642f130d3789c095d853ec07c6839b3f1a9a306d482c116d87aa21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11330",
    "kind": "arxiv",
    "version": 6
  }
}