Pith Number

pith:FQVHL6DU

pith:2011:FQVHL6DUUJE4DHZA7DIWWZJDCG

not attested not anchored not stored refs pending

Properly discontinuous isometric group actions on inhomogeneous Lorentzian manifolds

Jun-ichi Mukuno

arxiv:1103.0847 v1 · 2011-03-04 · 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{FQVHL6DUUJE4DHZA7DIWWZJDCG}

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	2026-05-18T04:27:26.130069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2a75f874a249c19f20f8d16b652311b8796be64715acdb41864121e2f8345e

Aliases

arxiv: 1103.0847 · arxiv_version: 1103.0847v1 · doi: 10.48550/arxiv.1103.0847 · pith_short_12: FQVHL6DUUJE4 · pith_short_16: FQVHL6DUUJE4DHZA · pith_short_8: FQVHL6DU

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/FQVHL6DUUJE4DHZA7DIWWZJDCG \
  | 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: 2c2a75f874a249c19f20f8d16b652311b8796be64715acdb41864121e2f8345e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7a77d0bd8dd7d2d386c5ea9f2667af2187d2a75dc812931ca96c376bdd43b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-04T09:09:40Z",
    "title_canon_sha256": "308a1df057749d01cf7f12d240f8bd6a4679a8fef922d98ebbb6485221f9fbb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0847",
    "kind": "arxiv",
    "version": 1
  }
}