Pith Number

pith:OTSPEBX5

pith:2018:OTSPEBX52CHYOYTDOOPGSBNXEX

not attested not anchored not stored refs pending

Spectral sets and operator radii

Catalin Badea, Hubert Klaja, Michel Crouzeix

arxiv:1804.04062 v1 · 2018-04-11 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTSPEBX52CHYOYTDOOPGSBNXEX}

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	2026-05-17T23:52:07.842865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e4f206fdd08f876263739e6905b725ed26af66c7783e9e37ee43ede681dfd7

Aliases

arxiv: 1804.04062 · arxiv_version: 1804.04062v1 · doi: 10.48550/arxiv.1804.04062 · pith_short_12: OTSPEBX52CHY · pith_short_16: OTSPEBX52CHYOYTD · pith_short_8: OTSPEBX5

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/OTSPEBX52CHYOYTDOOPGSBNXEX \
  | 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: 74e4f206fdd08f876263739e6905b725ed26af66c7783e9e37ee43ede681dfd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1cf9b02dcab16a4c6f7cbcb7aabbce0a534597d83a0a74a3dabcef02bd843e3",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-11T15:57:49Z",
    "title_canon_sha256": "f58162e5d9cd96f778d381b4b77dc355b3ca76d40587388e4f5307af66d9a300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04062",
    "kind": "arxiv",
    "version": 1
  }
}