Pith Number

pith:XPQZMXBB

pith:2015:XPQZMXBB65AQEP76XHPRUROIPH

not attested not anchored not stored refs pending

Gravitational properties of light - The gravitational field of a laser pulse

Dennis R\"atzel, Martin Wilkens, Ralf Menzel

arxiv:1511.01023 v1 · 2015-11-03 · quant-ph · gr-qc · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPQZMXBB65AQEP76XHPRUROIPH}

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	2026-05-18T00:53:34.857346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe1965c21f741023ffeb9df1a45c879e5942171068d6485cf4dc61986cef5de

Aliases

arxiv: 1511.01023 · arxiv_version: 1511.01023v1 · doi: 10.48550/arxiv.1511.01023 · pith_short_12: XPQZMXBB65AQ · pith_short_16: XPQZMXBB65AQEP76 · pith_short_8: XPQZMXBB

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/XPQZMXBB65AQEP76XHPRUROIPH \
  | 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: bbe1965c21f741023ffeb9df1a45c879e5942171068d6485cf4dc61986cef5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32d52a8721df83394360e09bf0fe40c1b905ad246fa53688e140c2ef510f571",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-03T18:18:34Z",
    "title_canon_sha256": "bfd1e026e1f603830116b97b46869622e28fad1a578c4aa3b88096826dac158a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01023",
    "kind": "arxiv",
    "version": 1
  }
}