Pith Number

pith:5ANMJCIQ

pith:2005:5ANMJCIQ5S3RGLH5BQY44S633T

not attested not anchored not stored refs pending

Event and Apparent Horizon Finders for 3+1 Numerical Relativity

Jonathan Thornburg

arxiv:gr-qc/0512169 v2 · 2005-12-30 · 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{5ANMJCIQ5S3RGLH5BQY44S633T}

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

3 papers in Pith

Cusp Formation in Merging Black Hole Horizons

Testing the nature of dark compact objects: a status report

Cusp Formation in Merging Black Hole Horizons

Receipt and verification

First computed	2026-07-04T17:28:36.655403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81ac48910ecb7132cfd0c31ce4bdbdce9e0b4ff952a0b0ea4026e38dab678ad

Aliases

arxiv: gr-qc/0512169 · arxiv_version: gr-qc/0512169v2 · doi: 10.48550/arxiv.gr-qc/0512169 · pith_short_12: 5ANMJCIQ5S3R · pith_short_16: 5ANMJCIQ5S3RGLH5 · pith_short_8: 5ANMJCIQ

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/5ANMJCIQ5S3RGLH5BQY44S633T \
  | 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: e81ac48910ecb7132cfd0c31ce4bdbdce9e0b4ff952a0b0ea4026e38dab678ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acdaf6fb80668379ac465338084f0774aed86fe2eaaddf96d0619f8b25f43d3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-30T20:56:27Z",
    "title_canon_sha256": "cd2f2d918bdd6996f76553fc23097ecdf55e30323dc73717160e58eb5032802b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512169",
    "kind": "arxiv",
    "version": 2
  }
}