Pith Number

pith:2WC3Q7SI

pith:2024:2WC3Q7SIUSBH7X3PS6DRJT67SS

not attested not anchored not stored refs pending

Eigenvalue distribution of canonical systems: trace class and sparse spectrum

Harald Woracek, Jakob Reiffenstein, Matthias Langer

arxiv:2412.20124 v1 · 2024-12-28 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WC3Q7SIUSBH7X3PS6DRJT67SS}

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

Growth estimates for Nevanlinna matrices of order larger than one half

Receipt and verification

First computed	2026-07-05T09:54:54.960248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d585b87e48a4827fdf6f978714cfdf94b6fb457e0c5d7a4864fdf5946ef5d492

Aliases

arxiv: 2412.20124 · arxiv_version: 2412.20124v1 · doi: 10.48550/arxiv.2412.20124 · pith_short_12: 2WC3Q7SIUSBH · pith_short_16: 2WC3Q7SIUSBH7X3P · pith_short_8: 2WC3Q7SI

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/2WC3Q7SIUSBH7X3PS6DRJT67SS \
  | 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: d585b87e48a4827fdf6f978714cfdf94b6fb457e0c5d7a4864fdf5946ef5d492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a785585d296c79380e2b1e36014c96edf831d5aca6a8606e9194ccb23cf76cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-28T11:52:23Z",
    "title_canon_sha256": "c844834d0498758260137f02dd0e707f4ad78172a30e210152a56c0ab6de7190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20124",
    "kind": "arxiv",
    "version": 1
  }
}