Pith Number

pith:6OCBSHAY

pith:2010:6OCBSHAYMJ5RMULR72YHDLXPH7

not attested not anchored not stored refs pending

Lattice embeddings in percolation

Alexander E. Holroyd, Geoffrey R. Grimmett

arxiv:1003.3950 v2 · 2010-03-20 · 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{6OCBSHAYMJ5RMULR72YHDLXPH7}

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	2026-05-18T03:44:47.560476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f384191c18627b165171feb071aeef3ffcca10f26655c30411eebce276accb68

Aliases

arxiv: 1003.3950 · arxiv_version: 1003.3950v2 · doi: 10.48550/arxiv.1003.3950 · pith_short_12: 6OCBSHAYMJ5R · pith_short_16: 6OCBSHAYMJ5RMULR · pith_short_8: 6OCBSHAY

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/6OCBSHAYMJ5RMULR72YHDLXPH7 \
  | 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: f384191c18627b165171feb071aeef3ffcca10f26655c30411eebce276accb68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5067ab341851f83d4f8ea59b3d58f8c5ba5adbc8e3a0119a3336b8412db3ace5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-20T20:59:46Z",
    "title_canon_sha256": "752cee0f3afff6b22e124ad993224a2c72cc4b77a54c1906c0b0ba04fb1e3b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3950",
    "kind": "arxiv",
    "version": 2
  }
}