Pith Number

pith:ZCK6LMDM

pith:1997:ZCK6LMDMQ2BPABNEOPY3GDZRBZ

not attested not anchored not stored refs pending

Black holes with unusual topology

L. Vanzo

arxiv:gr-qc/9705004 v3 · 1997-05-05 · 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{ZCK6LMDMQ2BPABNEOPY3GDZRBZ}

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

3 papers in Pith

Multicritical points of gravitational solitons and a black hole in four dimensions

Exact black holes and black branes with bumpy horizons supported by superfluid pions

Quasinormal modes of black holes and black branes

Receipt and verification

First computed	2026-07-04T16:04:37.443354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c895e5b06c8682f005a473f1b30f310e52347819a0fe17822af199dad1150a2d

Aliases

arxiv: gr-qc/9705004 · arxiv_version: gr-qc/9705004v3 · doi: 10.48550/arxiv.gr-qc/9705004 · pith_short_12: ZCK6LMDMQ2BP · pith_short_16: ZCK6LMDMQ2BPABNE · pith_short_8: ZCK6LMDM

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/ZCK6LMDMQ2BPABNEOPY3GDZRBZ \
  | 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: c895e5b06c8682f005a473f1b30f310e52347819a0fe17822af199dad1150a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021b94d70bbe289cc4b1a554453ad5bdea326f9e5a7954f4b091701a54282681",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-05-05T12:47:33Z",
    "title_canon_sha256": "50942147b695e6dce2fe7f32b905253634e03d06e8b851b5a97e0e29fb9a5ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9705004",
    "kind": "arxiv",
    "version": 3
  }
}