Pith Number

pith:TWZ7AQIU

pith:1999:TWZ7AQIU5UTNYOBFNXR75EJZVO

not attested not anchored not stored refs pending

Late-Time Dynamics of Scalar Fields on Rotating Black Hole Backgrounds

William Krivan (University of Utah)

arxiv:gr-qc/9907038 v1 · 1999-07-08 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWZ7AQIU5UTNYOBFNXR75EJZVO}

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

The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective

Receipt and verification

First computed	2026-07-04T17:18:23.699544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db3f04114ed26dc38256de3fe9139abbc5840ba103bbb9475e1eed03150351b

Aliases

arxiv: gr-qc/9907038 · arxiv_version: gr-qc/9907038v1 · doi: 10.48550/arxiv.gr-qc/9907038 · pith_short_12: TWZ7AQIU5UTN · pith_short_16: TWZ7AQIU5UTNYOBF · pith_short_8: TWZ7AQIU

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/TWZ7AQIU5UTNYOBFNXR75EJZVO \
  | 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: 9db3f04114ed26dc38256de3fe9139abbc5840ba103bbb9475e1eed03150351b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e2750bff6ccf7d7f48048635fcd35b0f1a2cd38c63e93629d34d3f51832dae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-07-08T22:38:47Z",
    "title_canon_sha256": "966aad57c589640f3220f140f961bb518168c82ce4bacd1ad6d27359722bb530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9907038",
    "kind": "arxiv",
    "version": 1
  }
}