Pith Number

pith:2HKLQONM

pith:1999:2HKLQONM3YWA7ZQPTHUH6PFPBG

not attested not anchored not stored refs pending

Spectral determination of analytic axi-symmetric plane domains

Steve Zelditch

arxiv:math/9901005 v2 · 1999-01-03 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HKLQONM3YWA7ZQPTHUH6PFPBG}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-05-18T03:35:54.878681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d4b839acde2c0fe60f99e87f3caf0992ceb429e9b21f48e189c6b5c3f387b0

Aliases

arxiv: math/9901005 · arxiv_version: math/9901005v2 · doi: 10.48550/arxiv.math/9901005 · pith_short_12: 2HKLQONM3YWA · pith_short_16: 2HKLQONM3YWA7ZQP · pith_short_8: 2HKLQONM

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/2HKLQONM3YWA7ZQPTHUH6PFPBG \
  | 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: d1d4b839acde2c0fe60f99e87f3caf0992ceb429e9b21f48e189c6b5c3f387b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846c25fb621d5e315fc54121ad50197352c51ca6b93f80da77fcc774595b801b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "1999-01-03T18:55:22Z",
    "title_canon_sha256": "a0684d79503745cf68eee43e3c0f9a1b5f1f10377c91035cca7c13fcd7ada0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901005",
    "kind": "arxiv",
    "version": 2
  }
}