Pith. sign in
Pith Number

pith:5YCZG5VN

pith:2012:5YCZG5VNHTLFKH7FHXETWDEYBW
not attested not anchored not stored refs pending

Light rays, gravitational waves, and pulse-time offsets

Adam Helfer

arxiv:1212.2926 v1 · 2012-12-12 · gr-qc · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5YCZG5VNHTLFKH7FHXETWDEYBW}

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

Receipt and verification
First computed 2026-05-18T01:52:39.390878Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ee059376ad3cd6551fe53dc93b0c980da594f605e6587b5648b0b0ede420bdea

Aliases

arxiv: 1212.2926 · arxiv_version: 1212.2926v1 · doi: 10.48550/arxiv.1212.2926 · pith_short_12: 5YCZG5VNHTLF · pith_short_16: 5YCZG5VNHTLFKH7F · pith_short_8: 5YCZG5VN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5YCZG5VNHTLFKH7FHXETWDEYBW \
  | 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: ee059376ad3cd6551fe53dc93b0c980da594f605e6587b5648b0b0ede420bdea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "22c0f47f1ff27ae3325e0cbbd948687aa005aa3f7e86abe47a43b682b1fe2f5d",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-12T18:47:59Z",
    "title_canon_sha256": "9311f7075fed7d1a072417db5362b2539fa141298e3f524b89435aeb11bf25f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2926",
    "kind": "arxiv",
    "version": 1
  }
}