Pith Number

pith:ANWWBUAD

pith:2018:ANWWBUADSCH4EPCF37TCA6Q74O

not attested not anchored not stored refs pending

Geometrical optics for scalar, electromagnetic and gravitational waves in curved spacetime

Sam R Dolan

arxiv:1806.08617 v1 · 2018-06-22 · 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{ANWWBUADSCH4EPCF37TCA6Q74O}

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

Black hole spectroscopy: from theory to experiment

Receipt and verification

First computed	2026-05-18T00:12:36.664182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036d60d003908fc23c45dfe6207a1fe3aed25c7510973a766a5c05a746cedcb2

Aliases

arxiv: 1806.08617 · arxiv_version: 1806.08617v1 · doi: 10.48550/arxiv.1806.08617 · pith_short_12: ANWWBUADSCH4 · pith_short_16: ANWWBUADSCH4EPCF · pith_short_8: ANWWBUAD

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/ANWWBUADSCH4EPCF37TCA6Q74O \
  | 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: 036d60d003908fc23c45dfe6207a1fe3aed25c7510973a766a5c05a746cedcb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cabdc3e683b45580601d1158d438a57ea512b4794c37606c237fe19f364e26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-22T12:02:38Z",
    "title_canon_sha256": "d40324eed979522b2b08689ccd502a9954b6a2b8a96ba1994a0a0b932474e9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08617",
    "kind": "arxiv",
    "version": 1
  }
}