Pith Number

pith:P2STLTMT

pith:2015:P2STLTMTSWUMBXEU6WOLOZJJJM

not attested not anchored not stored refs pending

The time of graph bootstrap percolation

Karen Gunderson, Micha{\l} Przykucki, Sebastian Koch

arxiv:1503.01454 v2 · 2015-03-04 · math.PR · 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{P2STLTMTSWUMBXEU6WOLOZJJJM}

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	2026-05-18T01:20:01.795447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea535cd9395a8c0dc94f59cb765294b1e4943d904d46563fd01eca6263b418f

Aliases

arxiv: 1503.01454 · arxiv_version: 1503.01454v2 · doi: 10.48550/arxiv.1503.01454 · pith_short_12: P2STLTMTSWUM · pith_short_16: P2STLTMTSWUMBXEU · pith_short_8: P2STLTMT

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/P2STLTMTSWUMBXEU6WOLOZJJJM \
  | 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: 7ea535cd9395a8c0dc94f59cb765294b1e4943d904d46563fd01eca6263b418f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5aa60387934d72a2c2c206e4040b7bc2fe88320f6ee11a6a794d6d2cedd0c4e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-04T20:52:41Z",
    "title_canon_sha256": "5a78d86494139a41044cb48d2e99f7dc2120c03763d33398af09b8fd28974a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01454",
    "kind": "arxiv",
    "version": 2
  }
}