Pith Number

pith:G4ZCOEQG

pith:2005:G4ZCOEQGKGNUO2PPCMVP65XRXL

not attested not anchored not stored refs pending

Analytic solutions to Riemann-squared gravity with background isotropic torsion

A.N. Lasenby, C.J.L. Doran, R. Heineke

arxiv:gr-qc/0509014 v1 · 2005-09-02 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4ZCOEQGKGNUO2PPCMVP65XRXL}

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	2026-07-04T14:25:58.811905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3732271206519b4769ef132aff76f1bad84140bf88085aaddda796ef286dcb45

Aliases

arxiv: gr-qc/0509014 · arxiv_version: gr-qc/0509014v1 · doi: 10.48550/arxiv.gr-qc/0509014 · pith_short_12: G4ZCOEQGKGNU · pith_short_16: G4ZCOEQGKGNUO2PP · pith_short_8: G4ZCOEQG

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/G4ZCOEQGKGNUO2PPCMVP65XRXL \
  | 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: 3732271206519b4769ef132aff76f1bad84140bf88085aaddda796ef286dcb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1809fe9eaeaa20f29a7cf84107da8839172fc028fb0b3d687dcac30d7cbec73f",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-02T14:23:13Z",
    "title_canon_sha256": "9ba0b320b363a59f9af9d1157250288e61ac64aab31d460051781383ec0b66cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509014",
    "kind": "arxiv",
    "version": 1
  }
}