Pith Number

pith:VZHR4WG2

pith:2010:VZHR4WG2NIVW2QYBQ3GXGGHTJU

not attested not anchored not stored refs pending

Gravitational Waves in the Spectral Action of Noncommutative Geometry

Joseph Ochoa, Mairi Sakellariadou, William Nelson

arxiv:1005.4276 v1 · 2010-05-24 · hep-th · astro-ph.CO · gr-qc · hep-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{VZHR4WG2NIVW2QYBQ3GXGGHTJU}

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

Analytical constraints on gravitational models with a quadratic Weyl tensor

Receipt and verification

First computed	2026-05-18T04:38:48.227079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4f1e58da6a2b6d430186cd7318f34d1262565697deb7c51d044ba95ec327b3

Aliases

arxiv: 1005.4276 · arxiv_version: 1005.4276v1 · doi: 10.48550/arxiv.1005.4276 · pith_short_12: VZHR4WG2NIVW · pith_short_16: VZHR4WG2NIVW2QYB · pith_short_8: VZHR4WG2

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/VZHR4WG2NIVW2QYBQ3GXGGHTJU \
  | 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: ae4f1e58da6a2b6d430186cd7318f34d1262565697deb7c51d044ba95ec327b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1f7e2a414828bd8715c986891ca87d546a5fb30452c091a78d07fea019b383",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-24T08:24:46Z",
    "title_canon_sha256": "62fb20c563b5b688dff58d8ca626a32309c1c289b63cd28ecb59c80bd33a16ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4276",
    "kind": "arxiv",
    "version": 1
  }
}