Pith Number

pith:HBNHS43Y

pith:2015:HBNHS43YMCENWSWTFWVCF7PLUS

not attested not anchored not stored refs pending

Optics in a nonlinear gravitational plane wave

Abraham I. Harte

arxiv:1502.03658 v2 · 2015-02-12 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBNHS43YMCENWSWTFWVCF7PLUS}

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

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Receipt and verification

First computed	2026-05-18T01:34:50.482406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385a7973786088db4ad32daa22fdeba4b5980901c2f54ed6bea77776b2a442d5

Aliases

arxiv: 1502.03658 · arxiv_version: 1502.03658v2 · doi: 10.48550/arxiv.1502.03658 · pith_short_12: HBNHS43YMCEN · pith_short_16: HBNHS43YMCENWSWT · pith_short_8: HBNHS43Y

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/HBNHS43YMCENWSWTFWVCF7PLUS \
  | 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: 385a7973786088db4ad32daa22fdeba4b5980901c2f54ed6bea77776b2a442d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cbd324dfcae91e282c04998a5c7e59da7eecfc48ff6fabd26591acb46840f4",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-12T13:55:49Z",
    "title_canon_sha256": "9f0c8d3fcdeda1db5404d9f5746d5fbd90538af402d419dbeb2bcf5675d3a627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03658",
    "kind": "arxiv",
    "version": 2
  }
}