Pith Number

pith:BDGAPQO4

pith:2012:BDGAPQO4AN7PR77X6IPAEC7ZZO

not attested not anchored not stored refs pending

Analysis of the loop length distribution for the negative weight percolation problem in dimensions d=2 through 6

A. K. Hartmann, G. Claussen, L. Apolo, O. Melchert

arxiv:1207.2893 v1 · 2012-07-12 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDGAPQO4AN7PR77X6IPAEC7ZZO}

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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	2026-05-18T03:22:39.343624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08cc07c1dc037ef8fff7f21e020bf9cb807cfb7bbcf0f37552d42e57f519bf18

Aliases

arxiv: 1207.2893 · arxiv_version: 1207.2893v1 · doi: 10.48550/arxiv.1207.2893 · pith_short_12: BDGAPQO4AN7P · pith_short_16: BDGAPQO4AN7PR77X · pith_short_8: BDGAPQO4

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/BDGAPQO4AN7PR77X6IPAEC7ZZO \
  | 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: 08cc07c1dc037ef8fff7f21e020bf9cb807cfb7bbcf0f37552d42e57f519bf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126228248bd1909cb016f4f512a6f7ef8ff4888920cf197ebdbb543ea79ab33f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-07-12T09:40:45Z",
    "title_canon_sha256": "c4b4201f0dc07e6d2d14ef901f4fc0675b6d4b6934679dbafcd609606a3f5861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2893",
    "kind": "arxiv",
    "version": 1
  }
}