Pith Number

pith:GF7JQFKE

pith:2004:GF7JQFKE56W2FXPAKF7KQCSNXS

not attested not anchored not stored refs pending

A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model

Dmitry Panchenko

arxiv:math/0405358 v1 · 2004-05-18 · math.PR · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF7JQFKE56W2FXPAKF7KQCSNXS}

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	2026-05-18T04:08:42.923212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317e981544efada2dde0517ea80a4dbcb7bfc506da609022d676af2795c2203e

Aliases

arxiv: math/0405358 · arxiv_version: math/0405358v1 · doi: 10.48550/arxiv.math/0405358 · pith_short_12: GF7JQFKE56W2 · pith_short_16: GF7JQFKE56W2FXPA · pith_short_8: GF7JQFKE

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/GF7JQFKE56W2FXPAKF7KQCSNXS \
  | 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: 317e981544efada2dde0517ea80a4dbcb7bfc506da609022d676af2795c2203e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc344becb11f1deaab177b96696617991fb628de5b9223c912d81d646016f93",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-18T21:54:57Z",
    "title_canon_sha256": "6f409cf18c255b451b781c7c4f416546a319a4ec90549996822f6a862ee50cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405358",
    "kind": "arxiv",
    "version": 1
  }
}