Pith Number

pith:ICIYY5ZQ

pith:2025:ICIYY5ZQTVTWOZCWHWSEOXCBDK

not attested not anchored not stored refs pending

Slow graph bootstrap percolation III: Chain constructions

David Fabian, Patrick Morris, Tibor Szab\'o

arxiv:2508.03835 v1 · 2025-08-05 · 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{ICIYY5ZQTVTWOZCWHWSEOXCBDK}

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

Upper bounds on the running time of bootstrap percolation

Receipt and verification

First computed	2026-07-05T11:49:16.029474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40918c77309d676764563da4475c411a8054f38c758b81c418f18de3838d3df7

Aliases

arxiv: 2508.03835 · arxiv_version: 2508.03835v1 · doi: 10.48550/arxiv.2508.03835 · pith_short_12: ICIYY5ZQTVTW · pith_short_16: ICIYY5ZQTVTWOZCW · pith_short_8: ICIYY5ZQ

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/ICIYY5ZQTVTWOZCWHWSEOXCBDK \
  | 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: 40918c77309d676764563da4475c411a8054f38c758b81c418f18de3838d3df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32222509bcb54b6cac854dda568dff9db77b92bbdf02b3b92d9220cd1ab11fe2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-05T18:28:35Z",
    "title_canon_sha256": "c5b65bf881235f1a8430093bdb7b80348d78211885d49fffbe5e7d91b274992a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03835",
    "kind": "arxiv",
    "version": 1
  }
}