Pith Number

pith:7PIAUSNL

pith:2014:7PIAUSNLPN6NJGNWELT3DXHMYN

not attested not anchored not stored refs pending

Loop Equation Analysis of the Circular $ \beta $ Ensembles

N.S. Witte, P.J. Forrester

arxiv:1409.6038 v2 · 2014-09-21 · math-ph · math.CA · 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{7PIAUSNLPN6NJGNWELT3DXHMYN}

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	2026-05-18T01:41:59.248679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd00a49ab7b7cd499b622e7b1dcecc36f94ce72afbc0cd9f574b42cca05331c

Aliases

arxiv: 1409.6038 · arxiv_version: 1409.6038v2 · doi: 10.48550/arxiv.1409.6038 · pith_short_12: 7PIAUSNLPN6N · pith_short_16: 7PIAUSNLPN6NJGNW · pith_short_8: 7PIAUSNL

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/7PIAUSNLPN6NJGNWELT3DXHMYN \
  | 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: fbd00a49ab7b7cd499b622e7b1dcecc36f94ce72afbc0cd9f574b42cca05331c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2098dd76990ebb3b25f8b64e5b31a4e2ba621ccc56b9dc86b443ab3e453d8e7",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-21T20:20:36Z",
    "title_canon_sha256": "9fc17d61a513e15f3f031f6f53b3a2eb0d4a9ece624aa1698bf012f4c3a46720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6038",
    "kind": "arxiv",
    "version": 2
  }
}