Pith Number

pith:FVAMKWN4

pith:1997:FVAMKWN4KODZBBMFL333TQTXK2

not attested not anchored not stored refs pending

Global Foliations of Vacuum Spacetimes with $T^2$ Isometry

Beverly K. Berger, James Isenberg, Piotr T. Chru\'sciel, Vincent Moncrief

arxiv:gr-qc/9702007 v1 · 1997-02-03 · 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{FVAMKWN4KODZBBMFL333TQTXK2}

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	2026-07-04T16:04:36.086733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d40c559bc53879085855ef7b9c2775687beab58dd25dc0d6874a9d6db0ca98d

Aliases

arxiv: gr-qc/9702007 · arxiv_version: gr-qc/9702007v1 · doi: 10.48550/arxiv.gr-qc/9702007 · pith_short_12: FVAMKWN4KODZ · pith_short_16: FVAMKWN4KODZBBMF · pith_short_8: FVAMKWN4

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/FVAMKWN4KODZBBMFL333TQTXK2 \
  | 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: 2d40c559bc53879085855ef7b9c2775687beab58dd25dc0d6874a9d6db0ca98d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3e64682ae7b3bb9414d0433d463e2227155656242f979ea4b37fc7bc46147e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-02-03T23:31:44Z",
    "title_canon_sha256": "7be47baba3efe29cafb041f26c23c4b2a13fa8d32f4fb8e018eb08eae0c84d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9702007",
    "kind": "arxiv",
    "version": 1
  }
}