Pith Number

pith:UWZ2PZQN

pith:2000:UWZ2PZQNSREYILR5UNP3OQISTV

not attested not anchored not stored refs pending

Gravitational Aharonov-Bohm effect and gravitational lensing

A. Tartaglia

arxiv:gr-qc/0003030 v1 · 2000-03-08 · 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{UWZ2PZQNSREYILR5UNP3OQISTV}

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	2026-07-04T15:51:20.025325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b3a7e60d9449842e3da35fb741129d7c71d3d491a3ea75b51809661ee420ba

Aliases

arxiv: gr-qc/0003030 · arxiv_version: gr-qc/0003030v1 · doi: 10.48550/arxiv.gr-qc/0003030 · pith_short_12: UWZ2PZQNSREY · pith_short_16: UWZ2PZQNSREYILR5 · pith_short_8: UWZ2PZQN

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/UWZ2PZQNSREYILR5UNP3OQISTV \
  | 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: a5b3a7e60d9449842e3da35fb741129d7c71d3d491a3ea75b51809661ee420ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a62fe7f21d6958de622594c64a47858cf1aa22e7c4aa9c20da2b4a990424d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-03-08T14:12:14Z",
    "title_canon_sha256": "70d74bd56c807add62005179591fd8673098aa51176348fc7a218031050984c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0003030",
    "kind": "arxiv",
    "version": 1
  }
}