Pith Number

pith:YTIDBJQH

pith:2015:YTIDBJQHIMKWTD7DZN2JEMULBW

not attested not anchored not stored refs pending

Mesoscopic fluctuations for unitary invariant ensembles

Gaultier Lambert

arxiv:1510.03641 v3 · 2015-10-13 · math.PR · 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{YTIDBJQHIMKWTD7DZN2JEMULBW}

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	2026-05-18T01:04:50.409451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d030a6074315698fe3cb7492328b0d812af807c7afcf4fe4278a3d4e870590

Aliases

arxiv: 1510.03641 · arxiv_version: 1510.03641v3 · doi: 10.48550/arxiv.1510.03641 · pith_short_12: YTIDBJQHIMKW · pith_short_16: YTIDBJQHIMKWTD7D · pith_short_8: YTIDBJQH

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/YTIDBJQHIMKWTD7DZN2JEMULBW \
  | 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: c4d030a6074315698fe3cb7492328b0d812af807c7afcf4fe4278a3d4e870590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28edfe0d121a07465f29211b35c19f3d2e313f06538fc88906b8b69025c4bc5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-13T12:12:32Z",
    "title_canon_sha256": "3adce919888e540f3398a9c8b4ebd04988c81e9869a76277632d2e2286448e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03641",
    "kind": "arxiv",
    "version": 3
  }
}