Pith Number

pith:LS5ARSM5

pith:2013:LS5ARSM56LN4MKDSD5BMUOXGSO

not attested not anchored not stored refs pending

Strong Gravitational Lensing with Gauss-Bonnet correction

H. Vaez, J. Sadeghi

arxiv:1310.1701 v5 · 2013-10-07 · 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{LS5ARSM56LN4MKDSD5BMUOXGSO}

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	2026-05-18T01:47:14.583459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cba08c99df2dbc628721f42ca3ae693a9d84f0842c0013d9bdc2811330f401f

Aliases

arxiv: 1310.1701 · arxiv_version: 1310.1701v5 · doi: 10.48550/arxiv.1310.1701 · pith_short_12: LS5ARSM56LN4 · pith_short_16: LS5ARSM56LN4MKDS · pith_short_8: LS5ARSM5

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/LS5ARSM56LN4MKDSD5BMUOXGSO \
  | 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: 5cba08c99df2dbc628721f42ca3ae693a9d84f0842c0013d9bdc2811330f401f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50233c05f87bbc4e90cfb6542356b26e7330fb8a5c5900366a029297f970898",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-10-07T08:46:53Z",
    "title_canon_sha256": "aa54f0f3099b1abffa2699fad79c6dfed0b1b746e2d3aac0a65581884b22ed01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1701",
    "kind": "arxiv",
    "version": 5
  }
}