Pith Number

pith:SBDX2MEC

pith:2010:SBDX2MECLU2QFJQRBVCGJCOB77

not attested not anchored not stored refs pending

Gravitational Lensing from a Spacetime Perspective

Volker Perlick

arxiv:1010.3416 v1 · 2010-10-17 · gr-qc

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Cited by

1 paper in Pith

Bounds on the photon sphere radius for spherically symmetric black holes in n-dimensional Einstein gravity

Receipt and verification

First computed	2026-05-18T04:39:09.174230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90477d30825d3502a6110d446489c1ffc7639778e09542abe7d6b5def99b1114

Aliases

arxiv: 1010.3416 · arxiv_version: 1010.3416v1 · doi: 10.48550/arxiv.1010.3416

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/SBDX2MECLU2QFJQRBVCGJCOB77 \
  | 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: 90477d30825d3502a6110d446489c1ffc7639778e09542abe7d6b5def99b1114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05644a5cfaffb70c0a3f19296a230d09c51c2ebc8f774b3b2772af9c1215f474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-17T14:38:29Z",
    "title_canon_sha256": "160e40a088f2d7f9b210e5720999daa657e4a9eb321531861d5151f75fffbca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3416",
    "kind": "arxiv",
    "version": 1
  }
}