Pith Number

pith:VOMPOTVR

pith:2013:VOMPOTVRWLIOB2KWFMXBMC4HQS

not attested not anchored not stored refs pending

Krein's strings whose spectral functions are of polynomial growth

Shinichi Kotani

arxiv:1304.6786 v1 · 2013-04-25 · 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{VOMPOTVRWLIOB2KWFMXBMC4HQS}

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	2026-05-18T02:29:25.358849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab98f74eb1b2d0e0e9562b2e160b87849a6ec51eb9e4b764cd375cc7aa5c6bc9

Aliases

arxiv: 1304.6786 · arxiv_version: 1304.6786v1 · doi: 10.48550/arxiv.1304.6786 · pith_short_12: VOMPOTVRWLIO · pith_short_16: VOMPOTVRWLIOB2KW · pith_short_8: VOMPOTVR

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/VOMPOTVRWLIOB2KWFMXBMC4HQS \
  | 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: ab98f74eb1b2d0e0e9562b2e160b87849a6ec51eb9e4b764cd375cc7aa5c6bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8772657d948b84e74be5fc027d849676e37a9731381b2b80ae3282aec4d1ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-04-25T01:46:31Z",
    "title_canon_sha256": "eca1568bdb50169583710588d15fe9a04cd517fd7fe057e595821398e1e3c14b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6786",
    "kind": "arxiv",
    "version": 1
  }
}