Pith Number

pith:34V2C4JQ

pith:1999:34V2C4JQ2Y5AIHGI34PSTYKV4O

not attested not anchored not stored refs pending

2+1-dimensional black holes with momentum and angular momentum

Dieter Brill

arxiv:gr-qc/9912079 v1 · 1999-12-18 · 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{34V2C4JQ2Y5AIHGI34PSTYKV4O}

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	2026-05-18T00:34:16.656396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2ba17130d63a041cc8df1f29e155e3b5839c4fa974c5786c6dd4cc10aea365

Aliases

arxiv: gr-qc/9912079 · arxiv_version: gr-qc/9912079v1 · doi: 10.48550/arxiv.gr-qc/9912079 · pith_short_12: 34V2C4JQ2Y5A · pith_short_16: 34V2C4JQ2Y5AIHGI · pith_short_8: 34V2C4JQ

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/34V2C4JQ2Y5AIHGI34PSTYKV4O \
  | 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: df2ba17130d63a041cc8df1f29e155e3b5839c4fa974c5786c6dd4cc10aea365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebcbac2ff3c8f83e037436b3c07d0416fee58279b63e5eeb1b726f297a5b9bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-18T19:33:55Z",
    "title_canon_sha256": "f4405f012a3ed67a2e62782f51c5da7d08a90cd10ee8dcf58c5678ad7711f20a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912079",
    "kind": "arxiv",
    "version": 1
  }
}