Pith Number

pith:JJJ7H5NQ

pith:2021:JJJ7H5NQNPVYGDAQTRMEHMZMVX

not attested not anchored not stored refs pending

Universal relation between the variances of distortions of gravitational waves owing to gravitational lensing

Makoto Inamori, Teruaki Suyama

arxiv:2107.02443 v2 · 2021-07-06 · 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{JJJ7H5NQNPVYGDAQTRMEHMZMVX}

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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

The Born approximation in wave optics gravitational lensing revisited

Receipt and verification

First computed	2026-07-05T03:13:50.177573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a53f3f5b06beb830c109c5843b32cadfc31f040507418954291ff0d6a6676cf

Aliases

arxiv: 2107.02443 · arxiv_version: 2107.02443v2 · doi: 10.48550/arxiv.2107.02443 · pith_short_12: JJJ7H5NQNPVY · pith_short_16: JJJ7H5NQNPVYGDAQ · pith_short_8: JJJ7H5NQ

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/JJJ7H5NQNPVYGDAQTRMEHMZMVX \
  | 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: 4a53f3f5b06beb830c109c5843b32cadfc31f040507418954291ff0d6a6676cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f4b9bd1ae7ab5544f2c6d078f199a09fcdd359c9d91aeccc4f1406feddf3f5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-06T07:43:25Z",
    "title_canon_sha256": "0ae52cb7846d504efd2519318ba0b126bbf1c34208ff2e0ea5e71ecd1131b1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02443",
    "kind": "arxiv",
    "version": 2
  }
}