Pith Number

pith:CVBBSF5H

pith:2010:CVBBSF5HJCMZWFJAHGIMUCEDEY

not attested not anchored not stored refs pending

On the convergence of second order spectra and multiplicity

Lyonell Boulton, Michael Strauss

arxiv:1005.0774 v1 · 2010-05-05 · math.SP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVBBSF5HJCMZWFJAHGIMUCEDEY}

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	2026-05-18T04:42:13.580051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15421917a748999b15203990ca08832613a1ef250dfeb206a1b832fc36dd80f2

Aliases

arxiv: 1005.0774 · arxiv_version: 1005.0774v1 · doi: 10.48550/arxiv.1005.0774 · pith_short_12: CVBBSF5HJCMZ · pith_short_16: CVBBSF5HJCMZWFJA · pith_short_8: CVBBSF5H

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/CVBBSF5HJCMZWFJAHGIMUCEDEY \
  | 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: 15421917a748999b15203990ca08832613a1ef250dfeb206a1b832fc36dd80f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60af484eb5e435920db7857e9b13acb102fa41be212a2c32a86b4ecdccb96232",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-05-05T15:12:18Z",
    "title_canon_sha256": "7587fe56ff0f21fe0253efbe64c0d9ab062e2db8fe4a42b992fd3902aefc37b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0774",
    "kind": "arxiv",
    "version": 1
  }
}