Pith Number

pith:MREX3DJT

pith:2000:MREX3DJTTFRVPZ4YGYJYEO347Z

not attested not anchored not stored refs pending

The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry

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

arxiv:gr-qc/0005088 v4 · 2000-05-19 · 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{MREX3DJTTFRVPZ4YGYJYEO347Z}

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	2026-05-18T03:00:59.955334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64497d8d33996357e7983613823b7cfe4ca4f648fc1239465617bf6b11ad3e75

Aliases

arxiv: gr-qc/0005088 · arxiv_version: gr-qc/0005088v4 · doi: 10.48550/arxiv.gr-qc/0005088 · pith_short_12: MREX3DJTTFRV · pith_short_16: MREX3DJTTFRVPZ4Y · pith_short_8: MREX3DJT

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/MREX3DJTTFRVPZ4YGYJYEO347Z \
  | 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: 64497d8d33996357e7983613823b7cfe4ca4f648fc1239465617bf6b11ad3e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ead4029d14f491c569053be8a961aed5eb2d3c08f661cb9f81e62f3fb9e90d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-19T16:03:11Z",
    "title_canon_sha256": "2242d079c7dc0364d1d90cb68f8017f1516bac013efb8780a550a6aa5c5d33da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005088",
    "kind": "arxiv",
    "version": 4
  }
}