Pith Number

pith:6YR5OE4Q

pith:2019:6YR5OE4QYTFD44P2DBCPGEYQAU

not attested not anchored not stored refs pending

Effect of power-law Maxwell field to the gravitational lensing

M. Mangut, O. Gurtug

arxiv:1903.07098 v2 · 2019-03-17 · 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{6YR5OE4QYTFD44P2DBCPGEYQAU}

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	2026-05-17T23:48:54.841035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f623d71390c4ca3e71fa1844f31310052cb6f9d624be3ef43431dafd46691e16

Aliases

arxiv: 1903.07098 · arxiv_version: 1903.07098v2 · doi: 10.48550/arxiv.1903.07098 · pith_short_12: 6YR5OE4QYTFD · pith_short_16: 6YR5OE4QYTFD44P2 · pith_short_8: 6YR5OE4Q

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/6YR5OE4QYTFD44P2DBCPGEYQAU \
  | 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: f623d71390c4ca3e71fa1844f31310052cb6f9d624be3ef43431dafd46691e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185f1d9d5c040b0def10b026de80985407bb5a0edb134333afc19a75c6c2324e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-03-17T14:33:59Z",
    "title_canon_sha256": "be14001065300307a86ec785d354ee9ec8aa7819cdd3bc3fb7fb067998b6b4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07098",
    "kind": "arxiv",
    "version": 2
  }
}