Pith Number

pith:D2OAVGFY

pith:2014:D2OAVGFY2HHJCUVSHSAQIGOFJW

not attested not anchored not stored refs pending

Gravitational lensing in the strong field limit for Kar's metric

Alejandro Cardenas-Avendano, Alexis Larranaga, Carlos A. Benavides

arxiv:1410.4190 v3 · 2014-10-15 · 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{D2OAVGFY2HHJCUVSHSAQIGOFJW}

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	2026-05-18T01:19:14.263480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9c0a98b8d1ce9152b23c810419c54d902bb4a32d0d9ad48e449a3b9d07cf74

Aliases

arxiv: 1410.4190 · arxiv_version: 1410.4190v3 · doi: 10.48550/arxiv.1410.4190 · pith_short_12: D2OAVGFY2HHJ · pith_short_16: D2OAVGFY2HHJCUVS · pith_short_8: D2OAVGFY

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/D2OAVGFY2HHJCUVSHSAQIGOFJW \
  | 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: 1e9c0a98b8d1ce9152b23c810419c54d902bb4a32d0d9ad48e449a3b9d07cf74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf15de287b275c76fdaf894f700aa61c1bc7846468f371425e7dbc3a9e58a430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-10-15T17:19:36Z",
    "title_canon_sha256": "9d23780170cc970a3031dcbbde032697af0ba081a20787702945b64f9373f476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4190",
    "kind": "arxiv",
    "version": 3
  }
}