Pith Number

pith:76ZJXTYL

pith:2014:76ZJXTYLISMHD4Y6XUBZL3TYYK

not attested not anchored not stored refs pending

The glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra

Andrea Crisanti, Fabrizio Antenucci, Luca Leuzzi

arxiv:1412.8748 v3 · 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{76ZJXTYLISMHD4Y6XUBZL3TYYK}

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	2026-05-18T01:25:47.364689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb29bcf0b449871f31ebd0395ee78c2bf2edf7753d9833589ff6c3fc4b05d63

Aliases

arxiv: 1412.8748 · arxiv_version: 1412.8748v3 · doi: 10.48550/arxiv.1412.8748 · pith_short_12: 76ZJXTYLISMH · pith_short_16: 76ZJXTYLISMHD4Y6 · pith_short_8: 76ZJXTYL

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/76ZJXTYLISMHD4Y6XUBZL3TYYK \
  | 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: ffb29bcf0b449871f31ebd0395ee78c2bf2edf7753d9833589ff6c3fc4b05d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23afc9ff2a7ee8531628623b46c04d5d795fa18e69c326f623231c9c1e52bca3",
    "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": "2014-12-30T19:58:02Z",
    "title_canon_sha256": "63d26f29fb00ff3831060814c593c76b9195874a69aa2206d84ea536b34a2950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8748",
    "kind": "arxiv",
    "version": 3
  }
}