Pith Number

pith:6IXRKC7R

pith:2010:6IXRKC7RLT7SNWKUL6FLR2O7MT

not attested not anchored not stored refs pending

Central Limit Theorems for Cavity and Local Fields of the Sherrington-Kirkpatrick Model

Wei-Kuo Chen

arxiv:1010.3782 v2 · 2010-10-19 · 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{6IXRKC7RLT7SNWKUL6FLR2O7MT}

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	2026-05-18T04:31:23.221559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22f150bf15cff26d9545f8ab8e9df64d0ff77fa330f1d22d2743d98709f56bb

Aliases

arxiv: 1010.3782 · arxiv_version: 1010.3782v2 · doi: 10.48550/arxiv.1010.3782 · pith_short_12: 6IXRKC7RLT7S · pith_short_16: 6IXRKC7RLT7SNWKU · pith_short_8: 6IXRKC7R

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/6IXRKC7RLT7SNWKUL6FLR2O7MT \
  | 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: f22f150bf15cff26d9545f8ab8e9df64d0ff77fa330f1d22d2743d98709f56bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d665c027264a3d21f2ea91ed8465a967f98ff90e64891cf9206dfea31c90613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-19T02:40:24Z",
    "title_canon_sha256": "907280ee5eeeaf090c9dc17613bb0099cbdc04f73a3f780314ff2004c515f802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3782",
    "kind": "arxiv",
    "version": 2
  }
}