Pith Number

pith:2B6RBHLW

pith:2005:2B6RBHLWJG37TD67RRYGRMZYWI

not attested not anchored not stored refs pending

Loop expansion around the Bethe-Peierls approximation for lattice models

Frantisek Slanina, Giorgio Parisi

arxiv:cond-mat/0512529 v1 · 2005-12-21 · 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{2B6RBHLWJG37TD67RRYGRMZYWI}

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	2026-05-18T04:28:38.063375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07d109d7649b7f98fdf8c7068b338b22acb117c12ce68a0574be75a84fea265

Aliases

arxiv: cond-mat/0512529 · arxiv_version: cond-mat/0512529v1 · doi: 10.48550/arxiv.cond-mat/0512529 · pith_short_12: 2B6RBHLWJG37 · pith_short_16: 2B6RBHLWJG37TD67 · pith_short_8: 2B6RBHLW

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/2B6RBHLWJG37TD67RRYGRMZYWI \
  | 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: d07d109d7649b7f98fdf8c7068b338b22acb117c12ce68a0574be75a84fea265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b16b9325f1372c6f4c0807b489413fd9fb320ce7efc6308193555c311a65775",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-12-21T10:57:49Z",
    "title_canon_sha256": "5f1e8eda32d08d6f190d35ad02239127eed4862c5f099b62e5c032b61bb77797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0512529",
    "kind": "arxiv",
    "version": 1
  }
}