Pith Number

pith:7TXGNCDM

pith:2009:7TXGNCDM3KFFWDJRPNVT5VLZJ3

not attested not anchored not stored refs pending

Sherrington-Kirkpatrick model near $T=T_c$: expanding around the Replica Symmetric Solution

A. Crisanti, C. De Dominicis

arxiv:0910.4091 v2 · 2009-10-21 · 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{7TXGNCDM3KFFWDJRPNVT5VLZJ3}

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	2026-05-18T04:27:57.264972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcee66886cda8a5b0d317b6b3ed5794ecb2863e0cfae74b6e00dd2804ffb9a05

Aliases

arxiv: 0910.4091 · arxiv_version: 0910.4091v2 · doi: 10.48550/arxiv.0910.4091 · pith_short_12: 7TXGNCDM3KFF · pith_short_16: 7TXGNCDM3KFFWDJR · pith_short_8: 7TXGNCDM

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/7TXGNCDM3KFFWDJRPNVT5VLZJ3 \
  | 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: fcee66886cda8a5b0d317b6b3ed5794ecb2863e0cfae74b6e00dd2804ffb9a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d241c068fc4340dca10f27b3ee37d252657e6dee14a396ed6e3668c383c057",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2009-10-21T13:48:47Z",
    "title_canon_sha256": "8c165ee1929cf140e3ff3f82348add6157d243f6a2400567b5b0131f3c00e47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4091",
    "kind": "arxiv",
    "version": 2
  }
}