Pith Number

pith:5WRARGDN

pith:2016:5WRARGDNOAIU2FRTWEDYLZSTXK

not attested not anchored not stored refs pending

Strong field gravitational lensing by a charged Galileon black hole

Shan-Shan Zhao, Yi Xie

arxiv:1603.00637 v2 · 2016-03-02 · 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{5WRARGDNOAIU2FRTWEDYLZSTXK}

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	2026-05-18T01:11:21.442215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda208986d70114d1633b10785e653ba816ad043dc261119f9772df07e6a2273

Aliases

arxiv: 1603.00637 · arxiv_version: 1603.00637v2 · doi: 10.48550/arxiv.1603.00637 · pith_short_12: 5WRARGDNOAIU · pith_short_16: 5WRARGDNOAIU2FRT · pith_short_8: 5WRARGDN

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/5WRARGDNOAIU2FRTWEDYLZSTXK \
  | 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: eda208986d70114d1633b10785e653ba816ad043dc261119f9772df07e6a2273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3203da4ad32fa307cacd24fb72aee1abaf0fbceeddbb70d371538394e81866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-02T09:54:52Z",
    "title_canon_sha256": "9dbec3894a120ae5c5d1721329197f35f7dabf3ad56f96ab5843940c15e50581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00637",
    "kind": "arxiv",
    "version": 2
  }
}