Pith Number

pith:3OPRVJEM

pith:2011:3OPRVJEMRJGYPUGFEWFXPTUSM7

not attested not anchored not stored refs pending

Isometry groups of Lorentzian manifolds of finite volume and The local geometry of compact homogeneous Lorentz spaces

Felix G\"unther

arxiv:1106.5539 v2 · 2011-06-27 · 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{3OPRVJEMRJGYPUGFEWFXPTUSM7}

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	2026-05-18T03:22:17.586541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9f1aa48c8a4d87d0c5258b77ce9267fea0f3e3506041afa46c9982234ceb1b

Aliases

arxiv: 1106.5539 · arxiv_version: 1106.5539v2 · doi: 10.48550/arxiv.1106.5539 · pith_short_12: 3OPRVJEMRJGY · pith_short_16: 3OPRVJEMRJGYPUGF · pith_short_8: 3OPRVJEM

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/3OPRVJEMRJGYPUGFEWFXPTUSM7 \
  | 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: db9f1aa48c8a4d87d0c5258b77ce9267fea0f3e3506041afa46c9982234ceb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd75478350288894478469171880c0da58b674bdc52016a491515bb2ad72b427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-27T23:05:18Z",
    "title_canon_sha256": "ec48aee8040075d1dd43efde7353c5c3beab8b5a3677fb831a3fdc8ff4091750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5539",
    "kind": "arxiv",
    "version": 2
  }
}