Pith Number

pith:4YH7L6GI

pith:2008:4YH7L6GIRIRW6SB4R22LDEDRVB

not attested not anchored not stored refs pending

Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound

Pierluigi Contucci, Shannon Starr

arxiv:0809.4229 v2 · 2008-09-24 · math-ph · cond-mat.dis-nn · 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{4YH7L6GIRIRW6SB4R22LDEDRVB}

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	2026-05-18T04:14:53.790516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60ff5f8c88a236f483c8eb4b19071a87e331506e41cc8546a96d2e6125a4181

Aliases

arxiv: 0809.4229 · arxiv_version: 0809.4229v2 · doi: 10.48550/arxiv.0809.4229 · pith_short_12: 4YH7L6GIRIRW · pith_short_16: 4YH7L6GIRIRW6SB4 · pith_short_8: 4YH7L6GI

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/4YH7L6GIRIRW6SB4R22LDEDRVB \
  | 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: e60ff5f8c88a236f483c8eb4b19071a87e331506e41cc8546a96d2e6125a4181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f734c7e90edaa113323a3c2d7641b5a6f372af1992585cf2c9f2c90da31e56",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-24T16:38:19Z",
    "title_canon_sha256": "5932c0da0b38c072f91a0546100b7596ce76a5b75b8edf7e8312d963a66fbe8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4229",
    "kind": "arxiv",
    "version": 2
  }
}