Pith Number

pith:WOKQZFBB

pith:1998:WOKQZFBBK7Q234G7LWJOMEN3SW

not attested not anchored not stored refs pending

On the probabilistic formulation of the replica approach to spin glasses

Giorgio Parisi

arxiv:cond-mat/9801081 v1 · 1998-01-09 · 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{WOKQZFBBK7Q234G7LWJOMEN3SW}

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	2026-07-04T14:23:01.397952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3950c942157e1adf0df5d92e611bb95880819a6a7507566c3c10f7d3ece42c4

Aliases

arxiv: cond-mat/9801081 · arxiv_version: cond-mat/9801081v1 · doi: 10.48550/arxiv.cond-mat/9801081 · pith_short_12: WOKQZFBBK7Q2 · pith_short_16: WOKQZFBBK7Q234G7 · pith_short_8: WOKQZFBB

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/WOKQZFBBK7Q234G7LWJOMEN3SW \
  | 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: b3950c942157e1adf0df5d92e611bb95880819a6a7507566c3c10f7d3ece42c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752568a605ad65c836b2d091afc0770dbb4f8ca58fefa549578188cd1c587438",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1998-01-09T21:18:06Z",
    "title_canon_sha256": "c9c4f16493cac9116bffe22d4d781faeeb672ef2901a7ffbf1be6f5cbc1f4dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9801081",
    "kind": "arxiv",
    "version": 1
  }
}