Pith Number

pith:7JBXUFVB

pith:2023:7JBXUFVBK7NAHUM3OD2YW2K3TX

not attested not anchored not stored refs pending

Slow graph bootstrap percolation I: Cycles

David Fabian, Patrick Morris, Tibor Szab\'o

arxiv:2308.00498 v3 · 2023-08-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JBXUFVBK7NAHUM3OD2YW2K3TX}

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

Bootstrap percolation of extension hypergraphs

Receipt and verification

First computed	2026-06-23T03:13:42.711473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa437a16a157da03d19b70f58b695b9deaced38eecd40598be5607d603b1293f

Aliases

arxiv: 2308.00498 · arxiv_version: 2308.00498v3 · doi: 10.48550/arxiv.2308.00498 · pith_short_12: 7JBXUFVBK7NA · pith_short_16: 7JBXUFVBK7NAHUM3 · pith_short_8: 7JBXUFVB

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/7JBXUFVBK7NAHUM3OD2YW2K3TX \
  | 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: fa437a16a157da03d19b70f58b695b9deaced38eecd40598be5607d603b1293f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e44baf593547cac5a3d7df0aa860231616a98ebc403f8c3e66ea9e6cf6ddaed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-01T12:34:26Z",
    "title_canon_sha256": "0e0535e4670686ad000eb021bbb2eec77b2ef2b6fe72cbf266e3f572f872d880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00498",
    "kind": "arxiv",
    "version": 3
  }
}