Pith Number

pith:7TUGLIFN

pith:2018:7TUGLIFNBNPQJSNGTRQ4IXW452

not attested not anchored not stored refs pending

The gravitational field of a laser beam beyond the short wavelength approximation

Daniel Braun, Dennis R\"atzel, Fabienne Schneiter

arxiv:1804.08706 v2 · 2018-04-23 · gr-qc · hep-th · physics.optics · quant-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{7TUGLIFNBNPQJSNGTRQ4IXW452}

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	2026-05-17T23:52:53.153698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce865a0ad0b5f04c9a69c61c45edcee9a01c9207da53e90fe3f8bd98514035a

Aliases

arxiv: 1804.08706 · arxiv_version: 1804.08706v2 · doi: 10.48550/arxiv.1804.08706 · pith_short_12: 7TUGLIFNBNPQ · pith_short_16: 7TUGLIFNBNPQJSNG · pith_short_8: 7TUGLIFN

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/7TUGLIFNBNPQJSNGTRQ4IXW452 \
  | 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: fce865a0ad0b5f04c9a69c61c45edcee9a01c9207da53e90fe3f8bd98514035a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bf8734f955c088ed883cf91f1e54408a4d14a43022450afc2cf5e5ac413bac",
    "cross_cats_sorted": [
      "hep-th",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-23T20:10:20Z",
    "title_canon_sha256": "e223092505ef559c5d6d7aeed12e2d88a0bc7d550df57b92140c77e5a66f821f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08706",
    "kind": "arxiv",
    "version": 2
  }
}