Pith Number

pith:LUZZU2WI

pith:2010:LUZZU2WIVJVNWXDNH7NUJU5ZUD

not attested not anchored not stored refs pending

Closed Geodesics in Lorentzian Surfaces

Stefan Suhr

arxiv:1011.4878 v2 · 2010-11-22 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUZZU2WIVJVNWXDNH7NUJU5ZUD}

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	2026-05-18T02:58:30.998133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d339a6ac8aa6adb5c6d3fdb44d3b9a0c77be6bbf18e5cd51981d72c5a72a198

Aliases

arxiv: 1011.4878 · arxiv_version: 1011.4878v2 · doi: 10.48550/arxiv.1011.4878 · pith_short_12: LUZZU2WIVJVN · pith_short_16: LUZZU2WIVJVNWXDN · pith_short_8: LUZZU2WI

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/LUZZU2WIVJVNWXDNH7NUJU5ZUD \
  | 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: 5d339a6ac8aa6adb5c6d3fdb44d3b9a0c77be6bbf18e5cd51981d72c5a72a198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db246cadfd123028505c7c0de2ac249708e185ae89229b135c8103cb151db9b7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-22T17:20:57Z",
    "title_canon_sha256": "fb1708e3e92fc1ad868632c564efb5844015f43019ba4881cdf59b8aa2442763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4878",
    "kind": "arxiv",
    "version": 2
  }
}