Pith Number

pith:OGD7WQR4

pith:2000:OGD7WQR4BCGI34POAMNAASSXGO

not attested not anchored not stored refs pending

Statistical Lorentzian geometry and the closeness of Lorentzian manifolds

Luca Bombelli

arxiv:gr-qc/0002053 v2 · 2000-02-15 · gr-qc · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGD7WQR4BCGI34POAMNAASSXGO}

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.

Cited by

1 paper in Pith

Charting causal set configuration space with graph observables

Receipt and verification

First computed	2026-05-18T01:39:24.961023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7187fb423c088c8df1ee031a004a5733a0989d1d97487c382cd8c6d6aae4956a

Aliases

arxiv: gr-qc/0002053 · arxiv_version: gr-qc/0002053v2 · doi: 10.48550/arxiv.gr-qc/0002053 · pith_short_12: OGD7WQR4BCGI · pith_short_16: OGD7WQR4BCGI34PO · pith_short_8: OGD7WQR4

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/OGD7WQR4BCGI34POAMNAASSXGO \
  | 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: 7187fb423c088c8df1ee031a004a5733a0989d1d97487c382cd8c6d6aae4956a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "604cce64266aa6248cfba2cd08be5a7bfc39dca592ba9796af3c6a43ccad92c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-02-15T18:35:07Z",
    "title_canon_sha256": "dcfda8fdf834fd83da1d3d4c050f30965f77923d59835c8cb91fa07ac88ff606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0002053",
    "kind": "arxiv",
    "version": 2
  }
}