Pith Number

pith:H3XPWM3A

pith:2018:H3XPWM3AQHZ24G2NF2PG7CWQ76

not attested not anchored not stored refs pending

Gravitational lensing of massive particles in Reissner-Nordstr\"om spacetime

Junji Jia, Xiankai Pang

arxiv:1806.04719 v2 · 2018-06-12 · 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{H3XPWM3AQHZ24G2NF2PG7CWQ76}

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

2 papers in Pith

Deflection angle of charged massive particles in slowly rotating Kerr-Newman space-times via Gauss-Bonnet theorem and Hamilton-Jacobi method

Boundary-only weak deflection angles from isothermal optical geometry

Receipt and verification

First computed	2026-05-17T23:50:59.610161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eeefb336081f3ae1b4d2e9e6f8ad0ffa45ead7848101db7ab719bf96f5e426b

Aliases

arxiv: 1806.04719 · arxiv_version: 1806.04719v2 · doi: 10.48550/arxiv.1806.04719 · pith_short_12: H3XPWM3AQHZ2 · pith_short_16: H3XPWM3AQHZ24G2N · pith_short_8: H3XPWM3A

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/H3XPWM3AQHZ24G2NF2PG7CWQ76 \
  | 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: 3eeefb336081f3ae1b4d2e9e6f8ad0ffa45ead7848101db7ab719bf96f5e426b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a97d4ac9218fd3e9f95a1942e05124d42937cbecc49aa08aed8a869d6977a92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-12T19:02:42Z",
    "title_canon_sha256": "54f5e8690547feb7306973d706f63f49c6dfd7c36e966f4a3d38414d741f97c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04719",
    "kind": "arxiv",
    "version": 2
  }
}