Pith Number

pith:VTSE3JGG

pith:2012:VTSE3JGG74TSCZUWRN6O2L6JS4

not attested not anchored not stored refs pending

Difference between level statistics, ergodicity and localization transitions on the Bethe lattice

A. C. Ribeiro-Teixeira, G. Biroli, M. Tarzia

arxiv:1211.7334 v2 · 2012-11-30 · cond-mat.dis-nn · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTSE3JGG74TSCZUWRN6O2L6JS4}

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	2026-05-18T03:39:27.711445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace44da4c6ff272166968b7ced2fc9972a151fe6e38f977320498b0c4faea2ff

Aliases

arxiv: 1211.7334 · arxiv_version: 1211.7334v2 · doi: 10.48550/arxiv.1211.7334 · pith_short_12: VTSE3JGG74TS · pith_short_16: VTSE3JGG74TSCZUW · pith_short_8: VTSE3JGG

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/VTSE3JGG74TSCZUWRN6O2L6JS4 \
  | 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: ace44da4c6ff272166968b7ced2fc9972a151fe6e38f977320498b0c4faea2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd113c8b615bd72019612aafc9d1ae24912b8e8bd84984be6863dbcba512ce9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-11-30T18:38:11Z",
    "title_canon_sha256": "0e3d34c174de9ffcb6af4965ff1765176b7c5bbb4f28e180012b439dccd48b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7334",
    "kind": "arxiv",
    "version": 2
  }
}