Pith Number

pith:CYZTKIFB

pith:2019:CYZTKIFB4IPK5QVXTBCKMQBM24

not attested not anchored not stored refs pending

The effects of finite distance on the gravitational deflection angle of light

Hideki Asada, Toshiaki Ono

arxiv:1906.02414 v2 · 2019-06-06 · 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{CYZTKIFB4IPK5QVXTBCKMQBM24}

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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

2 papers in Pith

Boundary-only weak deflection angles from isothermal optical geometry

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes

Receipt and verification

First computed	2026-07-05T00:17:27.254390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16333520a1e21eaec2b79844a6402cd731393cb8db7dc8c43e8c8f752a44ed4d

Aliases

arxiv: 1906.02414 · arxiv_version: 1906.02414v2 · doi: 10.48550/arxiv.1906.02414 · pith_short_12: CYZTKIFB4IPK · pith_short_16: CYZTKIFB4IPK5QVX · pith_short_8: CYZTKIFB

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/CYZTKIFB4IPK5QVXTBCKMQBM24 \
  | 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: 16333520a1e21eaec2b79844a6402cd731393cb8db7dc8c43e8c8f752a44ed4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85d88dead04926d76435c176e4510789678a2c568bed31f79b827309a02ff77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-06T04:58:04Z",
    "title_canon_sha256": "13dc5c066ea5e785b305d9a8bacee9a035cb05796e35ebbc7e528babe45d3299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02414",
    "kind": "arxiv",
    "version": 2
  }
}