Pith Number

pith:T7U2ECGN

pith:2018:T7U2ECGNA4KJLQSB6554XBNKOY

not attested not anchored not stored refs pending

A Multi-Scale Spin-Glass Mean-Field Model

Emanuele Mingione, Pierluigi Contucci

arxiv:1804.00629 v3 · 2018-04-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7U2ECGNA4KJLQSB6554XBNKOY}

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	2026-05-17T23:53:31.342973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe9a208cd071495c241f77bcb85aa763707ad2188d97eff0c295bc5ecfffa56

Aliases

arxiv: 1804.00629 · arxiv_version: 1804.00629v3 · doi: 10.48550/arxiv.1804.00629 · pith_short_12: T7U2ECGNA4KJ · pith_short_16: T7U2ECGNA4KJLQSB · pith_short_8: T7U2ECGN

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/T7U2ECGNA4KJLQSB6554XBNKOY \
  | 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: 9fe9a208cd071495c241f77bcb85aa763707ad2188d97eff0c295bc5ecfffa56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6791b9ef36908e2c3bdc99cfd344e636d035f457d0da5eb70f97f09436e73282",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-02T17:20:35Z",
    "title_canon_sha256": "cb19cf75319c8177bdcc7044a5c88924452f52e2fba8040a9ac1ef04388de4e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00629",
    "kind": "arxiv",
    "version": 3
  }
}