Pith Number

pith:M2QJ6FLF

pith:1996:M2QJ6FLFT7XFU5D33XFDX7BPDW

not attested not anchored not stored refs pending

Geometry of Black Holes and Multi-Black-Holes in 2+1 dimensions

Dieter Brill

arxiv:gr-qc/9607026 v1 · 1996-07-11 · 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{M2QJ6FLFT7XFU5D33XFDX7BPDW}

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	2026-05-18T01:06:44.619280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a09f15659fee5a747bddca3bfc2f1d92b3565b67a1de5c25cb0c5e604815e8

Aliases

arxiv: gr-qc/9607026 · arxiv_version: gr-qc/9607026v1 · doi: 10.48550/arxiv.gr-qc/9607026 · pith_short_12: M2QJ6FLFT7XF · pith_short_16: M2QJ6FLFT7XFU5D3 · pith_short_8: M2QJ6FLF

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/M2QJ6FLFT7XFU5D33XFDX7BPDW \
  | 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: 66a09f15659fee5a747bddca3bfc2f1d92b3565b67a1de5c25cb0c5e604815e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7433fbe455afedb287440c158deb980e20abe74bdd1768a7072c343a0e2e6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-07-11T23:10:54Z",
    "title_canon_sha256": "447c1b6210adb6ab565c1b3d94baa8fcacd088a426b1289684c5cd45d8af4045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9607026",
    "kind": "arxiv",
    "version": 1
  }
}