Pith Number

pith:SLJKEIIY

pith:2013:SLJKEIIY4IMSGSSL3AJHZAQDIN

not attested not anchored not stored refs pending

Strict majority bootstrap percolation in the r-wheel

Guillaume Theyssier, Ivan Rapaport, Marcos Kiwi, Pablo Moisset de Espan\'es, Sergio Rica

arxiv:1308.3831 v3 · 2013-08-18 · cs.SI · 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{SLJKEIIY4IMSGSSL3AJHZAQDIN}

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	2026-05-18T03:06:42.698792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d2a22118e219234a4bd8127c8203435c0a936620976f2ba3ebdcc3e548d2e4

Aliases

arxiv: 1308.3831 · arxiv_version: 1308.3831v3 · doi: 10.48550/arxiv.1308.3831 · pith_short_12: SLJKEIIY4IMS · pith_short_16: SLJKEIIY4IMSGSSL · pith_short_8: SLJKEIIY

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/SLJKEIIY4IMSGSSL3AJHZAQDIN \
  | 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: 92d2a22118e219234a4bd8127c8203435c0a936620976f2ba3ebdcc3e548d2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005ff83aaebb5bd792a44e61b33216fd874fd3d4ab38395be57f5e5997726d1d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2013-08-18T04:38:58Z",
    "title_canon_sha256": "d61454258e8d2bcff0bba4d7103253e6e3ccc124e772fbebd855a39911de5264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3831",
    "kind": "arxiv",
    "version": 3
  }
}