Pith Number

pith:ANUG3S7I

pith:2016:ANUG3S7IDKZIG25JP4ZJJTLLBG

not attested not anchored not stored refs pending

Sum rules and large deviations for spectral measures on the unit circle

Alain Rouault (LM-Versailles), Fabrice Gamboa (IMT), Jan Nagel

arxiv:1604.06934 v4 · 2016-04-23 · 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{ANUG3S7IDKZIG25JP4ZJJTLLBG}

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	2026-05-18T00:51:57.951536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03686dcbe81ab2836ba97f3294cd6b099af4a269f56881450a17d93430df107f

Aliases

arxiv: 1604.06934 · arxiv_version: 1604.06934v4 · doi: 10.48550/arxiv.1604.06934 · pith_short_12: ANUG3S7IDKZI · pith_short_16: ANUG3S7IDKZIG25J · pith_short_8: ANUG3S7I

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/ANUG3S7IDKZIG25JP4ZJJTLLBG \
  | 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: 03686dcbe81ab2836ba97f3294cd6b099af4a269f56881450a17d93430df107f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140d87dc76f73d3357e2a2ca624347e14bb51488a7bff21daf3901ae0448a9f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-23T18:53:53Z",
    "title_canon_sha256": "6ba67e4f766dc6759f0e13bea1dfd0463158f9b263fefdaaca7bcbbf0d20c46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06934",
    "kind": "arxiv",
    "version": 4
  }
}