Pith Number

pith:NKHS2DLF

pith:2013:NKHS2DLFP5OJMNW4Z437Q42I5K

not attested not anchored not stored refs pending

Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi-$p$-spin model in a self-induced field

Andrea Crisanti, Luca Leuzzi

arxiv:1301.1475 v1 · 2013-01-08 · 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{NKHS2DLFP5OJMNW4Z437Q42I5K}

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	2026-05-18T03:30:41.123417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8f2d0d657f5c9636dccf37f87348eab1a15412c099dfbbe693c734bcc9a89f

Aliases

arxiv: 1301.1475 · arxiv_version: 1301.1475v1 · doi: 10.48550/arxiv.1301.1475 · pith_short_12: NKHS2DLFP5OJ · pith_short_16: NKHS2DLFP5OJMNW4 · pith_short_8: NKHS2DLF

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/NKHS2DLFP5OJMNW4Z437Q42I5K \
  | 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: 6a8f2d0d657f5c9636dccf37f87348eab1a15412c099dfbbe693c734bcc9a89f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e73f47288c02044baa048593c6231adb6ec89fa9a9363f00a5b13a0cda81448",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2013-01-08T10:22:44Z",
    "title_canon_sha256": "ce7accb43e18dbfdbb7d881d340b6a23f0b4778b185d48c1bdce4d7ca16639b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1475",
    "kind": "arxiv",
    "version": 1
  }
}