Pith Number

pith:FOM6GFZZ

pith:2003:FOM6GFZZH3WKULLN7EQ47R3XRO

not attested not anchored not stored refs pending

A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity

Jonathan Thornburg

arxiv:gr-qc/0306056 v3 · 2003-06-12 · 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{FOM6GFZZH3WKULLN7EQ47R3XRO}

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

9 papers in Pith

Scalarization and descalarization in hyperbolic encounters of black holes

Ringdown and lensing of triple systems

Cusp Formation in Merging Black Hole Horizons

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

Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair

Receipt and verification

First computed	2026-07-04T15:23:03.797020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b99e317393eecaa2d6df921cfc7778b95696f443e6f64d2befa5a12f136f40a

Aliases

arxiv: gr-qc/0306056 · arxiv_version: gr-qc/0306056v3 · doi: 10.48550/arxiv.gr-qc/0306056 · pith_short_12: FOM6GFZZH3WK · pith_short_16: FOM6GFZZH3WKULLN · pith_short_8: FOM6GFZZ

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/FOM6GFZZH3WKULLN7EQ47R3XRO \
  | 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: 2b99e317393eecaa2d6df921cfc7778b95696f443e6f64d2befa5a12f136f40a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d4c5607eb3cd4d99d05b79e70aa547eb49eef0fdc8085f23234d0d1e352ca0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-06-12T21:47:40Z",
    "title_canon_sha256": "dee9918293f0e602789b939f24d78c61f6cfe62f4b3f9ab1b4f4feb762f51dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0306056",
    "kind": "arxiv",
    "version": 3
  }
}