Pith Number

pith:4FI2AIPG

pith:2020:4FI2AIPGRZIENM2YJUBVLLJTDK

not attested not anchored not stored refs pending

Multi-plane lensing in wave optics

Job Feldbrugge

arxiv:2010.03089 v2 · 2020-10-06 · astro-ph.CO · 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{4FI2AIPGRZIENM2YJUBVLLJTDK}

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

2 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

Gravitational-wave lensing beyond rays: a disordered-system approach

Receipt and verification

First computed	2026-07-05T05:12:01.788367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e151a021e68e5046b3584d0355ad331aa0f9a0d1dcedcfd016d5895635179e44

Aliases

arxiv: 2010.03089 · arxiv_version: 2010.03089v2 · doi: 10.48550/arxiv.2010.03089 · pith_short_12: 4FI2AIPGRZIE · pith_short_16: 4FI2AIPGRZIENM2Y · pith_short_8: 4FI2AIPG

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/4FI2AIPGRZIENM2YJUBVLLJTDK \
  | 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: e151a021e68e5046b3584d0355ad331aa0f9a0d1dcedcfd016d5895635179e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d50f53e9f2c9c8dd7f5316ffd79d8652a36efa8301ddc7e1ac2543f94b48f1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-10-06T23:39:26Z",
    "title_canon_sha256": "db0d5c2df60320445b03fffc841b129102968b19fb935b72bd796f8732ba2366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03089",
    "kind": "arxiv",
    "version": 2
  }
}