Pith Number

pith:XOQYJVSD

pith:2011:XOQYJVSDIU2QQXAREMLV3NN7FG

not attested not anchored not stored refs pending

From spectral theory to bounds on zeros of holomorphic functions

Guy Katriel, Marcel Hansmann

arxiv:1103.1487 v3 · 2011-03-08 · math.CV · 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{XOQYJVSDIU2QQXAREMLV3NN7FG}

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	2026-05-18T02:58:01.139839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba184d6434535085c1123175db5bf29b10f14e651e5784ec13654d052dca58c

Aliases

arxiv: 1103.1487 · arxiv_version: 1103.1487v3 · doi: 10.48550/arxiv.1103.1487 · pith_short_12: XOQYJVSDIU2Q · pith_short_16: XOQYJVSDIU2QQXAR · pith_short_8: XOQYJVSD

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/XOQYJVSDIU2QQXAREMLV3NN7FG \
  | 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: bba184d6434535085c1123175db5bf29b10f14e651e5784ec13654d052dca58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934f72b6153d246adc79d877ac0f7511c77a4694fc2ec8c76276c4c781a1d18d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-03-08T10:34:52Z",
    "title_canon_sha256": "c4a355b0807b245370130730bf15d8e348fb2c427bec05a6171a542c71afc743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1487",
    "kind": "arxiv",
    "version": 3
  }
}