Pith Number

pith:E635742I

pith:2006:E635742IZ53DE6TRIEVKDG5E64

not attested not anchored not stored refs pending

Variational Bounds for the Generalized Random Energy Model

Cristian Giardina', Shannon Starr

arxiv:math-ph/0601068 v3 · 2006-01-31 · math-ph · cond-mat.dis-nn · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E635742IZ53DE6TRIEVKDG5E64}

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	2026-05-18T01:31:53.798454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b7dff348cf76327a71412aa19ba4f71e1c431594fcb2d03c410b7502eba545

Aliases

arxiv: math-ph/0601068 · arxiv_version: math-ph/0601068v3 · doi: 10.48550/arxiv.math-ph/0601068 · pith_short_12: E635742IZ53D · pith_short_16: E635742IZ53DE6TR · pith_short_8: E635742I

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/E635742IZ53DE6TRIEVKDG5E64 \
  | 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: 27b7dff348cf76327a71412aa19ba4f71e1c431594fcb2d03c410b7502eba545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c24cdef77add180506f7469075fcc649d33a1de8d65226f5c18b7ea75ca780c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-01-31T17:25:46Z",
    "title_canon_sha256": "92f634ff4699d75cb4ca1b60e0d3278956b4baa0f1e84ef7ac3470842442f3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0601068",
    "kind": "arxiv",
    "version": 3
  }
}