Pith Number

pith:IWTKRTYK

pith:1999:IWTKRTYKSKRCCPFP2J5W7LOZML

not attested not anchored not stored refs pending

Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black Hole Geometry

Felix Finster, Joel Smoller, Niky Kamran, Shing-Tung Yau

arxiv:gr-qc/9905047 v2 · 1999-05-14 · gr-qc · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWTKRTYKSKRCCPFP2J5W7LOZML}

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	2026-05-18T03:00:59.946466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a6a8cf0a92a2213cafd27b6fadd962f5910d2f6d76158e19d2c20633c76b4c

Aliases

arxiv: gr-qc/9905047 · arxiv_version: gr-qc/9905047v2 · doi: 10.48550/arxiv.gr-qc/9905047 · pith_short_12: IWTKRTYKSKRC · pith_short_16: IWTKRTYKSKRCCPFP · pith_short_8: IWTKRTYK

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/IWTKRTYKSKRCCPFP2J5W7LOZML \
  | 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: 45a6a8cf0a92a2213cafd27b6fadd962f5910d2f6d76158e19d2c20633c76b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3220ecbf8ea8e39cb6a33bd940d7eb85c6a01cff933d2a0730b088d1c90cd4fe",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-14T15:27:56Z",
    "title_canon_sha256": "9fa4dd86a474b2b58ba66c18505a2caf5ce5a268198c321807b827669a21d097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905047",
    "kind": "arxiv",
    "version": 2
  }
}