Pith Number

pith:XLFQDD54

pith:2016:XLFQDD54BGCPN5W6YKW5KNDR3C

not attested not anchored not stored refs pending

Mesoscopic fluctuations for the thinned Circular Unitary Ensemble

Maurice Duits, Tomas Berggren

arxiv:1611.00991 v2 · 2016-11-03 · 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{XLFQDD54BGCPN5W6YKW5KNDR3C}

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	2026-05-18T00:39:01.401058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bacb018fbc0984f6f6dec2add53471d89ecd4573ecbd662442e9193ec338a88a

Aliases

arxiv: 1611.00991 · arxiv_version: 1611.00991v2 · doi: 10.48550/arxiv.1611.00991 · pith_short_12: XLFQDD54BGCP · pith_short_16: XLFQDD54BGCPN5W6 · pith_short_8: XLFQDD54

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/XLFQDD54BGCPN5W6YKW5KNDR3C \
  | 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: bacb018fbc0984f6f6dec2add53471d89ecd4573ecbd662442e9193ec338a88a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c3cc6f197a79f1c0dade0f1a99e49ce62310ab8ca2c2b39f79c698d8a69268",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-03T13:07:56Z",
    "title_canon_sha256": "44cd914d1fd80bcd1f3fe845f5aee2161e9c9784d60b3932b9a4e3229c6cfed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00991",
    "kind": "arxiv",
    "version": 2
  }
}