Pith Number

pith:BF5DUEWY

pith:2009:BF5DUEWYIMLMMS6CIHXYYCPGHP

not attested not anchored not stored refs pending

Critical surfaces for general inhomogeneous bond percolation problems

Christian R. Scullard, Robert M. Ziff

arxiv:0911.2686 v2 · 2009-11-13 · cond-mat.stat-mech · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BF5DUEWYIMLMMS6CIHXYYCPGHP}

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	2026-05-18T02:10:47.838289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097a3a12d84316c64bc241ef8c09e63bcfe85fc7dbf6cbf4460246ba5fef0783

Aliases

arxiv: 0911.2686 · arxiv_version: 0911.2686v2 · doi: 10.48550/arxiv.0911.2686 · pith_short_12: BF5DUEWYIMLM · pith_short_16: BF5DUEWYIMLMMS6C · pith_short_8: BF5DUEWY

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/BF5DUEWYIMLMMS6CIHXYYCPGHP \
  | 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: 097a3a12d84316c64bc241ef8c09e63bcfe85fc7dbf6cbf4460246ba5fef0783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0857468704d1acd49695b2172605f6cef56d50273d52d3500c35380c3aae38c5",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-13T20:17:59Z",
    "title_canon_sha256": "d3b49fa0fcd52482c76abc3122b9e6c7aac5734d86d1e6a55cb7380917f34230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2686",
    "kind": "arxiv",
    "version": 2
  }
}