Pith Number

pith:JASE4E2J

pith:2018:JASE4E2J3MG5GF4BBUP3QOEV4P

not attested not anchored not stored refs pending

On Strong Gravitational Lensing in Rotating Galactic Space-times

Pritam Banerjee, Suvankar Paul, Tapobrata Sarkar

arxiv:1804.07030 v1 · 2018-04-19 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JASE4E2J3MG5GF4BBUP3QOEV4P}

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	2026-05-18T00:18:04.524954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48244e1349db0dd317810d1fb83895e3ff82a2802c9e8bfa20d18272fec4d735

Aliases

arxiv: 1804.07030 · arxiv_version: 1804.07030v1 · doi: 10.48550/arxiv.1804.07030 · pith_short_12: JASE4E2J3MG5 · pith_short_16: JASE4E2J3MG5GF4B · pith_short_8: JASE4E2J

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/JASE4E2J3MG5GF4BBUP3QOEV4P \
  | 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: 48244e1349db0dd317810d1fb83895e3ff82a2802c9e8bfa20d18272fec4d735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b313c53342ead853155822450c226273a00c3f41316860e6633fce5c5b51722",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-19T08:12:49Z",
    "title_canon_sha256": "c9ba259857d0034883320e6742bdd3ef7198dda4dd883b15b855f9c718ac24c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07030",
    "kind": "arxiv",
    "version": 1
  }
}