Pith Number

pith:Z6PYAOI4

pith:2000:Z6PYAOI44GJXQJFYCH32LR2U32

not attested not anchored not stored refs pending

Towards the classification of static vacuum spacetimes with negative cosmological constant

Piotr T. Chrusciel, Walter Simon

arxiv:gr-qc/0004032 v2 · 2000-04-11 · 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{Z6PYAOI44GJXQJFYCH32LR2U32}

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

Holographic is Hamiltonian, relatively

Receipt and verification

First computed	2026-05-18T04:22:19.412428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9f80391ce1937824b811f7a5c754de9fea70363cbdda90772b9beffc6593d7

Aliases

arxiv: gr-qc/0004032 · arxiv_version: gr-qc/0004032v2 · doi: 10.48550/arxiv.gr-qc/0004032 · pith_short_12: Z6PYAOI44GJX · pith_short_16: Z6PYAOI44GJXQJFY · pith_short_8: Z6PYAOI4

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/Z6PYAOI44GJXQJFYCH32LR2U32 \
  | 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: cf9f80391ce1937824b811f7a5c754de9fea70363cbdda90772b9beffc6593d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e897085b4c8b07056ac41f7f4b0eb43b93058447b3adc7a185a4e151ae39209c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-04-11T16:39:20Z",
    "title_canon_sha256": "2643d8681042a82f20df99460099158b4dbab051f25974606b0644405833a2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0004032",
    "kind": "arxiv",
    "version": 2
  }
}