Pith Number

pith:MWMGEEHN

pith:1998:MWMGEEHNOJBZUU2TYBFTQY3ALS

not attested not anchored not stored refs pending

Lensing by gravitational waves in scalar-tensor gravity: Einstein frame analysis

Edgard Gunzig, Valerio Faraoni

arxiv:astro-ph/9801172 v1 · 1998-01-17 · astro-ph · 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{MWMGEEHNOJBZUU2TYBFTQY3ALS}

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.

Receipt and verification

First computed	2026-05-18T02:40:35.030712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65986210ed72439a5353c04b3863605c895e89d9a9e483770e34e4fa04bf060d

Aliases

arxiv: astro-ph/9801172 · arxiv_version: astro-ph/9801172v1 · doi: 10.48550/arxiv.astro-ph/9801172 · pith_short_12: MWMGEEHNOJBZ · pith_short_16: MWMGEEHNOJBZUU2T · pith_short_8: MWMGEEHN

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/MWMGEEHNOJBZUU2TYBFTQY3ALS \
  | 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: 65986210ed72439a5353c04b3863605c895e89d9a9e483770e34e4fa04bf060d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b407c43646871aafd59a4131506dae66d164012a8d68002cb6f88b192cdf95b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-01-17T08:57:16Z",
    "title_canon_sha256": "e4ac46ff410b1d02e2d54d8ada1d12a96da048ed10e9e9a938fba6c169234db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9801172",
    "kind": "arxiv",
    "version": 1
  }
}