Pith Number

pith:BUORR5DH

pith:2010:BUORR5DHHTNKC5N3T3JWNGQSMN

not attested not anchored not stored refs pending

Lifshitz tails for a percolation model in the continuum

Hatem Najar, Werner Kirsch

arxiv:1002.2103 v2 · 2010-02-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUORR5DHHTNKC5N3T3JWNGQSMN}

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	2026-05-18T03:43:05.481446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1d18f4673cdaa175bb9ed3669a126377779627c1e3b7e91999c02928f032f2

Aliases

arxiv: 1002.2103 · arxiv_version: 1002.2103v2 · doi: 10.48550/arxiv.1002.2103 · pith_short_12: BUORR5DHHTNK · pith_short_16: BUORR5DHHTNKC5N3 · pith_short_8: BUORR5DH

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/BUORR5DHHTNKC5N3T3JWNGQSMN \
  | 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: 0d1d18f4673cdaa175bb9ed3669a126377779627c1e3b7e91999c02928f032f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81c9fe9f0d6230feb47e63bae095e81f72c1877ac78ed927f5891fb56328d65",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-10T14:54:25Z",
    "title_canon_sha256": "3486e82a802e68c9d103b3a320ee898212ab9491804031e6a73dea4da2a36168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2103",
    "kind": "arxiv",
    "version": 2
  }
}