Pith Number

pith:IHQNZMFI

pith:2015:IHQNZMFISUA4LDZUMNZ2ZEFUZO

not attested not anchored not stored refs pending

On the maximum running time in graph bootstrap percolation

B\'ela Bollob\'as, Julian Sahasrabudhe, Micha{\l} Przykucki, Oliver Riordan

arxiv:1510.07096 v1 · 2015-10-24 · 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{IHQNZMFISUA4LDZUMNZ2ZEFUZO}

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	2026-05-18T00:41:42.188824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e0dcb0a89501c58f346373ac90b4cba0658c2894be51ad6ff9e52586ba4309

Aliases

arxiv: 1510.07096 · arxiv_version: 1510.07096v1 · doi: 10.48550/arxiv.1510.07096 · pith_short_12: IHQNZMFISUA4 · pith_short_16: IHQNZMFISUA4LDZU · pith_short_8: IHQNZMFI

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/IHQNZMFISUA4LDZUMNZ2ZEFUZO \
  | 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: 41e0dcb0a89501c58f346373ac90b4cba0658c2894be51ad6ff9e52586ba4309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a589370e8628724ad935c5e55a3a12de3e61fd84b5394f4ec0de97e4e33b1b4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-24T01:13:35Z",
    "title_canon_sha256": "1f438527e128f2c115733c13fe1638808e237616d9c587ecb8013aa3d9e4cebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07096",
    "kind": "arxiv",
    "version": 1
  }
}