Pith Number

pith:PZH3LFKF

pith:1999:PZH3LFKFJMFKVB6GDZAYPYOEYO

not attested not anchored not stored refs pending

Chaos and Fractals in Geodesic Motions Around a Non-Rotating Black-Hole with an External Halo

Alessandro P. S. de Moura, Patricio S. Letelier

arxiv:chao-dyn/9910035 v1 · 1999-10-26 · chao-dyn · gr-qc · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZH3LFKFJMFKVB6GDZAYPYOEYO}

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	2026-07-04T15:34:25.670020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4fb595454b0aaa87c61e4187e1c4c3a4608da1c6abbd6a306a982f1928f64a

Aliases

arxiv: chao-dyn/9910035 · arxiv_version: chao-dyn/9910035v1 · doi: 10.48550/arxiv.chao-dyn/9910035 · pith_short_12: PZH3LFKFJMFK · pith_short_16: PZH3LFKFJMFKVB6G · pith_short_8: PZH3LFKF

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/PZH3LFKFJMFKVB6GDZAYPYOEYO \
  | 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: 7e4fb595454b0aaa87c61e4187e1c4c3a4608da1c6abbd6a306a982f1928f64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5fc2119d37843c3ffc4484a6c8094ab0d29f39d4a032ebc046692aea628baf",
    "cross_cats_sorted": [
      "gr-qc",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-10-26T14:08:08Z",
    "title_canon_sha256": "e4459686e70a6e7dd5875816d23afee9763d6148425a773daea0eed4f9440c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9910035",
    "kind": "arxiv",
    "version": 1
  }
}