Pith Number

pith:7F7T32KI

pith:2018:7F7T32KIYMAJXNXKGHHR35FVN3

not attested not anchored not stored refs pending

Spectral form factor and semi-circle law in the time direction

Kazumi Okuyama

arxiv:1811.09988 v2 · 2018-11-25 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F7T32KIYMAJXNXKGHHR35FVN3}

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.

Cited by

1 paper in Pith

Group character averages via a single Laguerre

Receipt and verification

First computed	2026-05-17T23:50:22.828210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97f3de948c3009bb6ea31cf1df4b56ef68288914b5b339f14b20cf23ce1f54d

Aliases

arxiv: 1811.09988 · arxiv_version: 1811.09988v2 · doi: 10.48550/arxiv.1811.09988 · pith_short_12: 7F7T32KIYMAJ · pith_short_16: 7F7T32KIYMAJXNXK · pith_short_8: 7F7T32KI

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/7F7T32KIYMAJXNXKGHHR35FVN3 \
  | 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: f97f3de948c3009bb6ea31cf1df4b56ef68288914b5b339f14b20cf23ce1f54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09833bdf27cd1cfefd520b6f43c2f0ba9027a6007b1a06cfc0fccacac1cec1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-11-25T11:02:35Z",
    "title_canon_sha256": "3e3da9baf152bd85c5a2f0439549a36837c513cffdde59b105dcb774849ad4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09988",
    "kind": "arxiv",
    "version": 2
  }
}