Pith Number

pith:VG5MCBF3

pith:1997:VG5MCBF32ZRZ4ZAA34QPLMWPO6

not attested not anchored not stored refs pending

Chaos in black holes surrounded by gravitational waves

P.S. Letelier, W. M. Vieira

arxiv:gr-qc/9706025 v1 · 1997-06-10 · gr-qc · chao-dyn · 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{VG5MCBF32ZRZ4ZAA34QPLMWPO6}

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

Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background

Receipt and verification

First computed	2026-07-04T16:04:38.293325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9bac104bbd6639e6400df20f5b2cf77bddbd1dcc0fe197bc078cdeacc956218

Aliases

arxiv: gr-qc/9706025 · arxiv_version: gr-qc/9706025v1 · doi: 10.48550/arxiv.gr-qc/9706025 · pith_short_12: VG5MCBF32ZRZ · pith_short_16: VG5MCBF32ZRZ4ZAA · pith_short_8: VG5MCBF3

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/VG5MCBF32ZRZ4ZAA34QPLMWPO6 \
  | 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: a9bac104bbd6639e6400df20f5b2cf77bddbd1dcc0fe197bc078cdeacc956218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787a70c1a32e224da9d50740dd86da856bd83990a127667ed4cd31e4c7613184",
    "cross_cats_sorted": [
      "chao-dyn",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-06-10T14:22:18Z",
    "title_canon_sha256": "8b4a7999703f59c0d1e2097e9cd023464c20e77c4c531f64bcd8898166004c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9706025",
    "kind": "arxiv",
    "version": 1
  }
}