Pith Number

pith:FP5OZEVT

pith:2025:FP5OZEVTCM4KE7RWUXMYYHUMNF

not attested not anchored not stored refs pending

Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann $\zeta$ zeros

Shinsuke M. Nishigaki

arxiv:2507.10193 v1 · 2025-07-14 · math-ph · cond-mat.dis-nn · hep-th · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP5OZEVTCM4KE7RWUXMYYHUMNF}

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	2026-07-05T11:43:33.611462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfaec92b31338a27e36a5d98c1e8c69594f9a7f4ca83a21598fe779e6110715

Aliases

arxiv: 2507.10193 · arxiv_version: 2507.10193v1 · doi: 10.48550/arxiv.2507.10193 · pith_short_12: FP5OZEVTCM4K · pith_short_16: FP5OZEVTCM4KE7RW · pith_short_8: FP5OZEVT

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/FP5OZEVTCM4KE7RWUXMYYHUMNF \
  | 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: 2bfaec92b31338a27e36a5d98c1e8c69594f9a7f4ca83a21598fe779e6110715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49d02528a88f1cd86acfc6f6d8e03d58730f2a57f10e1b408f17290b054c4fb",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "hep-th",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-14T12:00:12Z",
    "title_canon_sha256": "2a4867572f432acb3ada2ff5e599e31a4b25ad15aa82f28d585b5a4d3734d946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10193",
    "kind": "arxiv",
    "version": 1
  }
}