Pith Number

pith:44CPGT7Y

pith:2016:44CPGT7Y66GGFXRQHO2ILF2VAI

not attested not anchored not stored refs pending

Jigsaw percolation on random hypergraphs

B\'ela Bollob\'as, Christoph Koch, Mihyun Kang, Oliver Cooley

arxiv:1603.07883 v2 · 2016-03-25 · math.CO · 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{44CPGT7Y66GGFXRQHO2ILF2VAI}

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	2026-05-18T00:37:48.640341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e704f34ff8f78c62de303bb4859755020edf0230291cfc6af2436b39fd3d599f

Aliases

arxiv: 1603.07883 · arxiv_version: 1603.07883v2 · doi: 10.48550/arxiv.1603.07883 · pith_short_12: 44CPGT7Y66GG · pith_short_16: 44CPGT7Y66GGFXRQ · pith_short_8: 44CPGT7Y

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/44CPGT7Y66GGFXRQHO2ILF2VAI \
  | 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: e704f34ff8f78c62de303bb4859755020edf0230291cfc6af2436b39fd3d599f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3cb3231a381ba84fff69cfb562f21eefa80e57dfdb5fab094d40296fa6fc40",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-25T11:20:59Z",
    "title_canon_sha256": "fcb1ec493756757c2bd325b46861f9b32228acd98d5e3eeece313e866b0c715e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07883",
    "kind": "arxiv",
    "version": 2
  }
}