Pith Number

pith:XQEUQSM6

pith:2008:XQEUQSM6WIV3626QJFA5CAOPD7

not attested not anchored not stored refs pending

Intersections of several disks of the Riemann sphere as K-spectral sets

Bernhard Beckermann, Catalin Badea, Michel Crouzeix

arxiv:0807.3136 v2 · 2008-07-21 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQEUQSM6WIV3626QJFA5CAOPD7}

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	2026-05-18T00:14:23.457494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0948499eb22bbf6bd04941d101cf1fe9b0ae37de2f8f5260dfd6b3c414a4db

Aliases

arxiv: 0807.3136 · arxiv_version: 0807.3136v2 · doi: 10.48550/arxiv.0807.3136 · pith_short_12: XQEUQSM6WIV3 · pith_short_16: XQEUQSM6WIV3626Q · pith_short_8: XQEUQSM6

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/XQEUQSM6WIV3626QJFA5CAOPD7 \
  | 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: bc0948499eb22bbf6bd04941d101cf1fe9b0ae37de2f8f5260dfd6b3c414a4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c96614ce2dd06fff3fccd46247dffd4e3d3a8ef74b47c08abd213228b5fffc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-07-21T15:33:35Z",
    "title_canon_sha256": "38f103b74206525949265c56e40459538aab44ece28c5787e7a3859e48c9e44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3136",
    "kind": "arxiv",
    "version": 2
  }
}