Pith Number

pith:5OJVYBGS

pith:1997:5OJVYBGSRURL44N2UGAUR7RR6A

not attested not anchored not stored refs pending

Isometry groups and geodesic foliations of Lorentz manifolds. Part II: Geometry of analytic Lorentz manifolds with large isometry groups

Abdelghani Zeghib

arxiv:dg-ga/9711020 v1 · 1997-11-26 · dg-ga · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OJVYBGSRURL44N2UGAUR7RR6A}

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	2026-05-18T01:06:48.483468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb935c04d28d22be71baa18148fe31f0230649cdc45c8f99d2bf7a5a314383bb

Aliases

arxiv: dg-ga/9711020 · arxiv_version: dg-ga/9711020v1 · doi: 10.48550/arxiv.dg-ga/9711020 · pith_short_12: 5OJVYBGSRURL · pith_short_16: 5OJVYBGSRURL44N2 · pith_short_8: 5OJVYBGS

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/5OJVYBGSRURL44N2UGAUR7RR6A \
  | 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: eb935c04d28d22be71baa18148fe31f0230649cdc45c8f99d2bf7a5a314383bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476e9842229a8aafb4c71d9bdbae536998dac0b6073f44208521a15d7898ddac",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-11-26T09:45:35Z",
    "title_canon_sha256": "4377549a3c83dadae7d4c8acdafc79f5fbd520da1e40f8a4f5c50448c0bdd5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9711020",
    "kind": "arxiv",
    "version": 1
  }
}