Pith Number

pith:PCCH2ER4

pith:2020:PCCH2ER4DS5BGI45ZDWDJOH7YB

not attested not anchored not stored refs pending

Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model

Ali \"Ovg\"un, Zonghai Li

arxiv:2001.02074 v1 · 2020-01-03 · 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{PCCH2ER4DS5BGI45ZDWDJOH7YB}

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	2026-07-05T00:35:03.714348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78847d123c1cba13239dc8ec34b8ffc07abf2a825213cdd9051de2ddc7e7127e

Aliases

arxiv: 2001.02074 · arxiv_version: 2001.02074v1 · doi: 10.48550/arxiv.2001.02074 · pith_short_12: PCCH2ER4DS5B · pith_short_16: PCCH2ER4DS5BGI45 · pith_short_8: PCCH2ER4

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/PCCH2ER4DS5BGI45ZDWDJOH7YB \
  | 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: 78847d123c1cba13239dc8ec34b8ffc07abf2a825213cdd9051de2ddc7e7127e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff400a60a2d80a17d9ae56e3064a2c5d91212e88b1c18f67ba4322e3121e936b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-01-03T20:46:14Z",
    "title_canon_sha256": "f5b31ba3643c529767e3a788452ec01a377dc4a1201dd73d3a287b291854d478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02074",
    "kind": "arxiv",
    "version": 1
  }
}