Pith Number

pith:3Y4E7J2U

pith:2004:3Y4E7J2UJXPS2U3QNXGZMCHQMB

not attested not anchored not stored refs pending

Isolated and dynamical horizons and their applications

Abhay Ashtekar, Badri Krishnan

arxiv:gr-qc/0407042 v3 · 2004-07-13 · gr-qc · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y4E7J2UJXPS2U3QNXGZMCHQMB}

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

17 papers in Pith

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Cusp Formation in Merging Black Hole Horizons

Parameter Estimation with Targeted Eccentric Numerical-Relativity Simulations for GW200208_22 and GW190620

Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary

Radiating black holes in general relativity need not be singular

Receipt and verification

First computed	2026-05-18T01:39:22.534148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de384fa7544ddf2d53706dcd9608f06074546072743a13889f9018fb42bded9d

Aliases

arxiv: gr-qc/0407042 · arxiv_version: gr-qc/0407042v3 · doi: 10.48550/arxiv.gr-qc/0407042 · pith_short_12: 3Y4E7J2UJXPS · pith_short_16: 3Y4E7J2UJXPS2U3Q · pith_short_8: 3Y4E7J2U

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/3Y4E7J2UJXPS2U3QNXGZMCHQMB \
  | 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: de384fa7544ddf2d53706dcd9608f06074546072743a13889f9018fb42bded9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18638c97b467191da2fef620c28ea0c5e61b3f7d65b896c236a4680f4ad3faa2",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-13T08:32:28Z",
    "title_canon_sha256": "48de8edba9234199ab3ed809bf50cc1c40ea6ba35c5f5e8fd93fe8da5c1444b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407042",
    "kind": "arxiv",
    "version": 3
  }
}