Pith Number

pith:ZRX7XXQU

pith:2005:ZRX7XXQUJJMK3STO6376557VBJ

not attested not anchored not stored refs pending

On gravitational lensing by deflectors in motion

M. Sereno (DSF, Unina; Inaf-Oac; INFN-Sec. Napoli)

arxiv:astro-ph/0501605 v1 · 2005-01-27 · 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{ZRX7XXQUJJMK3STO6376557VBJ}

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

1 paper in Pith

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Receipt and verification

First computed	2026-07-04T16:50:42.888993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6ffbde144a58adca6ef6ffeef7f50a4569ae6d4d1091d6a914191fb751c284

Aliases

arxiv: astro-ph/0501605 · arxiv_version: astro-ph/0501605v1 · doi: 10.48550/arxiv.astro-ph/0501605 · pith_short_12: ZRX7XXQUJJMK · pith_short_16: ZRX7XXQUJJMK3STO · pith_short_8: ZRX7XXQU

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/ZRX7XXQUJJMK3STO6376557VBJ \
  | 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: cc6ffbde144a58adca6ef6ffeef7f50a4569ae6d4d1091d6a914191fb751c284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2d6c4f96927b4b72c0822ca5d3b471e8b1dd61264466712705cd62cd1e25bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-01-27T14:48:55Z",
    "title_canon_sha256": "9342dbdee0dddfab03441251657076f76c742fcfe98086d5b11611b691abf337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0501605",
    "kind": "arxiv",
    "version": 1
  }
}