Pith Number

pith:V7HEDQJC

pith:2014:V7HEDQJCV5MS4PF2HBZJMCTJJ5

not attested not anchored not stored refs pending

The Complex Spherical 2+4 Spin Glass: a Model for Nonlinear Optics in Random Media

Andrea Crisanti, Fabrizio Antenucci, Luca Leuzzi

arxiv:1412.8706 v4 · 2014-12-30 · cond-mat.stat-mech · cond-mat.dis-nn · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7HEDQJCV5MS4PF2HBZJMCTJJ5}

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	2026-05-18T02:05:23.916206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afce41c122af592e3cba3872960a694f5b9b5b35d31e274615782432ed934612

Aliases

arxiv: 1412.8706 · arxiv_version: 1412.8706v4 · doi: 10.48550/arxiv.1412.8706 · pith_short_12: V7HEDQJCV5MS · pith_short_16: V7HEDQJCV5MS4PF2 · pith_short_8: V7HEDQJC

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/V7HEDQJCV5MS4PF2HBZJMCTJJ5 \
  | 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: afce41c122af592e3cba3872960a694f5b9b5b35d31e274615782432ed934612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47573ead2dbb53bfb50a3310d92968884dab67797ef2633aa3f37115c2f3401a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-12-30T17:52:11Z",
    "title_canon_sha256": "fab33cf732c98cbdedb0a149ce543860507f7d1921c5d13a4e43e79ace2b3e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8706",
    "kind": "arxiv",
    "version": 4
  }
}