Pith Number

pith:DOXDTP6M

pith:2015:DOXDTP6MZDD2WQSPRD3ZEBX2O6

not attested not anchored not stored refs pending

Percolation games, probabilistic cellular automata, and the hard-core model

Alexander E. Holroyd, Ir\`ene Marcovici, James B. Martin

arxiv:1503.05614 v3 · 2015-03-18 · 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{DOXDTP6MZDD2WQSPRD3ZEBX2O6}

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	2026-05-18T00:23:14.731922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bae39bfccc8c7ab424f88f79206fa77af7a823b1fad9712a92c10427d48ec79

Aliases

arxiv: 1503.05614 · arxiv_version: 1503.05614v3 · doi: 10.48550/arxiv.1503.05614 · pith_short_12: DOXDTP6MZDD2 · pith_short_16: DOXDTP6MZDD2WQSP · pith_short_8: DOXDTP6M

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/DOXDTP6MZDD2WQSPRD3ZEBX2O6 \
  | 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: 1bae39bfccc8c7ab424f88f79206fa77af7a823b1fad9712a92c10427d48ec79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522afcaaf6bf3367f5d8e0fd601e04345a50b3ee548ee16523d0b365678cbaac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-18T23:30:31Z",
    "title_canon_sha256": "a46fe297a11f35f2d2099429c150a9358a933c2c3f7c2afe5a5d1ac651aae25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05614",
    "kind": "arxiv",
    "version": 3
  }
}