Pith Number

pith:2KVDNOKD

pith:2020:2KVDNOKDUSSATU6HR37QPWILMK

not attested not anchored not stored refs pending

Gravitational lensing of binary systems in wave optics

Job Feldbrugge, Neil Turok

arxiv:2008.01154 v1 · 2020-08-03 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KVDNOKDUSSATU6HR37QPWILMK}

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

Which Saddles Contribute? The South-East Rule for Multidimensional Integrals

Wave-optics gravitational wave lensing in modified gravity

Receipt and verification

First computed	2026-07-05T01:24:54.074580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2aa36b943a4a409d3c78eff07d90b62b4b0ac8b0aa3dad72b75126c664b4ef8

Aliases

arxiv: 2008.01154 · arxiv_version: 2008.01154v1 · doi: 10.48550/arxiv.2008.01154 · pith_short_12: 2KVDNOKDUSSA · pith_short_16: 2KVDNOKDUSSATU6H · pith_short_8: 2KVDNOKD

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/2KVDNOKDUSSATU6HR37QPWILMK \
  | 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: d2aa36b943a4a409d3c78eff07d90b62b4b0ac8b0aa3dad72b75126c664b4ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58a5e957546bf6256e5c5d43c8da43a3270380dc77ff2fe28a7813371e414e5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-08-03T19:44:16Z",
    "title_canon_sha256": "f974edcdd25149d28146d438215370785fb4519e129b938255378473a256a913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01154",
    "kind": "arxiv",
    "version": 1
  }
}