Pith Number

pith:WXCGYWH5

pith:2016:WXCGYWH5Q7FBIOU7NBXPLVDV6Z

not attested not anchored not stored refs pending

Strong Deflection Limit Lensing Effects in the Minimal Geometric Deformation and Casadio-Fabbri-Mazzacurati Solutions

A. Goncalves da Silva, Roldao da Rocha, R. T. Cavalcanti

arxiv:1605.01271 v2 · 2016-05-03 · 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{WXCGYWH5Q7FBIOU7NBXPLVDV6Z}

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	2026-05-18T01:02:30.649974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c46c58fd87ca143a9f686ef5d475f6684c9bb261f7f3dda66fcbd6291032c6

Aliases

arxiv: 1605.01271 · arxiv_version: 1605.01271v2 · doi: 10.48550/arxiv.1605.01271 · pith_short_12: WXCGYWH5Q7FB · pith_short_16: WXCGYWH5Q7FBIOU7 · pith_short_8: WXCGYWH5

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/WXCGYWH5Q7FBIOU7NBXPLVDV6Z \
  | 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: b5c46c58fd87ca143a9f686ef5d475f6684c9bb261f7f3dda66fcbd6291032c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2c672105e53df48d8c9e8dfb16ad25b2e8b174a4fe8f2b79074af7e96ba8ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-03T00:44:39Z",
    "title_canon_sha256": "3a570fcbe5edd2e8ebacc1d2f22dd7f3e5548c085dd1f512acb9acc54298d612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01271",
    "kind": "arxiv",
    "version": 2
  }
}