Pith Number

pith:YQLM5HLU

pith:2012:YQLM5HLURT3CX7XTOSQD37ID4A

not attested not anchored not stored refs pending

Einstein metrics in projective geometry

A.Cap, A.R. Gover, H.R. Macbeth

arxiv:1207.0128 v2 · 2012-06-30 · math.DG · gr-qc · math-ph · 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{YQLM5HLURT3CX7XTOSQD37ID4A}

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	2026-05-18T01:32:01.616107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c416ce9d748cf62bfef374a03dfd03e0168338e42745b5a7bc0ccf5bf56dba8c

Aliases

arxiv: 1207.0128 · arxiv_version: 1207.0128v2 · doi: 10.48550/arxiv.1207.0128 · pith_short_12: YQLM5HLURT3C · pith_short_16: YQLM5HLURT3CX7XT · pith_short_8: YQLM5HLU

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/YQLM5HLURT3CX7XTOSQD37ID4A \
  | 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: c416ce9d748cf62bfef374a03dfd03e0168338e42745b5a7bc0ccf5bf56dba8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47214639f4fc4b2ba65de29db1c58ef6a25240ac3c98fbe09bb60e41e555a389",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-30T19:17:31Z",
    "title_canon_sha256": "35891c0f8e5c7a4f27f83300f7db05b36a63562f15892b6826e9893384a84537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0128",
    "kind": "arxiv",
    "version": 2
  }
}