Pith Number

pith:Z5SCZ6C3

pith:2003:Z5SCZ6C3DVIVR6CUEVY6BKZPV4

not attested not anchored not stored refs pending

Separability of Rotational Effects on a Gravitational Lens

Hideki Asada, Masumi Kasai, Tatsuya Yamamoto

arxiv:astro-ph/0301099 v1 · 2003-01-07 · 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{Z5SCZ6C3DVIVR6CUEVY6BKZPV4}

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	2026-07-04T16:35:49.191822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf642cf85b1d5158f8542571e0ab2faf1afc72460d00822e89296c67433f7221

Aliases

arxiv: astro-ph/0301099 · arxiv_version: astro-ph/0301099v1 · doi: 10.48550/arxiv.astro-ph/0301099 · pith_short_12: Z5SCZ6C3DVIV · pith_short_16: Z5SCZ6C3DVIVR6CU · pith_short_8: Z5SCZ6C3

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/Z5SCZ6C3DVIVR6CUEVY6BKZPV4 \
  | 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: cf642cf85b1d5158f8542571e0ab2faf1afc72460d00822e89296c67433f7221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6958100b040320d1838a29b06883683f661daa9d4d6a1372386f26c1add9f14e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-01-07T05:35:39Z",
    "title_canon_sha256": "cd4dcfaf9f6566ad2726dc0047cdb61bd027d3c7ee39f2a82788ffd5c3ffbfb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0301099",
    "kind": "arxiv",
    "version": 1
  }
}