Pith Number

pith:CKQFZZ3Q

pith:2006:CKQFZZ3QPQCH4B2LE6Q2LEJAHV

not attested not anchored not stored refs pending

Massless spinning test particles in vacuum algebraically special spacetimes

Christian Cherubini, Donato Bini, Geralico Andrea, Robert T. Jantzen

arxiv:gr-qc/0608020 v1 · 2006-08-04 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKQFZZ3QPQCH4B2LE6Q2LEJAHV}

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	2026-05-18T04:18:02.073263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a05ce7707c047e074b27a1a591203d5c2001c8e3d14f52390d52b4a2afdab7

Aliases

arxiv: gr-qc/0608020 · arxiv_version: gr-qc/0608020v1 · doi: 10.48550/arxiv.gr-qc/0608020 · pith_short_12: CKQFZZ3QPQCH · pith_short_16: CKQFZZ3QPQCH4B2L · pith_short_8: CKQFZZ3Q

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/CKQFZZ3QPQCH4B2LE6Q2LEJAHV \
  | 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: 12a05ce7707c047e074b27a1a591203d5c2001c8e3d14f52390d52b4a2afdab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b122d05ac54843ae6a2d2c23f1e087ba16a2023d64613435e325c63037c7685",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-08-04T08:53:21Z",
    "title_canon_sha256": "152c3f013ac918a32d13d77fe0ed683c49c9969d423116bdcaef6059b993b55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0608020",
    "kind": "arxiv",
    "version": 1
  }
}