Pith Number

pith:FIDY3PLW

pith:2001:FIDY3PLWXUGDQ7EEA2ZWJ5CX3G

not attested not anchored not stored refs pending

Higher order corrections to lensing parameters for extended gravitational lenses

Salvatore Capozziello, Virginia Re

arxiv:astro-ph/0109547 v1 · 2001-09-28 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIDY3PLWXUGDQ7EEA2ZWJ5CX3G}

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	2026-05-18T04:30:46.714537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a078dbd76bd0c387c8406b364f457d9b5b0f1d67b8c3ec2958a985717257c19

Aliases

arxiv: astro-ph/0109547 · arxiv_version: astro-ph/0109547v1 · doi: 10.48550/arxiv.astro-ph/0109547 · pith_short_12: FIDY3PLWXUGD · pith_short_16: FIDY3PLWXUGDQ7EE · pith_short_8: FIDY3PLW

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/FIDY3PLWXUGDQ7EEA2ZWJ5CX3G \
  | 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: 2a078dbd76bd0c387c8406b364f457d9b5b0f1d67b8c3ec2958a985717257c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de488530f2f00f7161b101e4c32c7a9c909d568f026ca046556ab2741fcb9de7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-09-28T13:09:05Z",
    "title_canon_sha256": "96c3adefba1f2c8a4e158ef62f13681b5e6e2fc93c59cded2ba912e00f36ea55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0109547",
    "kind": "arxiv",
    "version": 1
  }
}