Pith Number

pith:HRTH7H3L

pith:1999:HRTH7H3LEPPKKUKW52LIXUBCBV

not attested not anchored not stored refs pending

Chaos around the superposition of a black-hole and a thin disk

Alberto Saa, Roberto Venegeroles

arxiv:gr-qc/9906028 v1 · 1999-06-07 · 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{HRTH7H3LEPPKKUKW52LIXUBCBV}

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	2026-07-04T16:13:51.738589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c667f9f6b23dea55156ee968bd0220d71a5cab24a5bd0f006add2db6b69dd8d

Aliases

arxiv: gr-qc/9906028 · arxiv_version: gr-qc/9906028v1 · doi: 10.48550/arxiv.gr-qc/9906028 · pith_short_12: HRTH7H3LEPPK · pith_short_16: HRTH7H3LEPPKKUKW · pith_short_8: HRTH7H3L

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/HRTH7H3LEPPKKUKW52LIXUBCBV \
  | 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: 3c667f9f6b23dea55156ee968bd0220d71a5cab24a5bd0f006add2db6b69dd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d238a4e06ba26f21d0f7b60cc8bf2e948168eaa30a3726cd5e34c8ff4677541",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-07T13:59:46Z",
    "title_canon_sha256": "c391b97b5a285afee7bafe389491919eacfc363bc14df3017a6b14b066c2c4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906028",
    "kind": "arxiv",
    "version": 1
  }
}