Pith Number

pith:VHWDLHYY

pith:2026:VHWDLHYYQHSKZI7EVCAKTBAUXX

not attested not anchored not stored refs pending

Gravitational Lensing Effect from The Revised Deser-Woodard Nonlocal Gravity

Haida Li, Xiangdong Zhang

arxiv:2601.16572 v1 · 2026-01-23 · 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{VHWDLHYYQHSKZI7EVCAKTBAUXX}

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.

Cited by

1 paper in Pith

Observational constraints on nonlocal black holes via gravitational lensing

Receipt and verification

First computed	2026-06-23T03:14:28.085786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ec359f1881e4aca3e4a880a98414bde5524934048bec90a7182d9a5a201582

Aliases

arxiv: 2601.16572 · arxiv_version: 2601.16572v1 · doi: 10.48550/arxiv.2601.16572 · pith_short_12: VHWDLHYYQHSK · pith_short_16: VHWDLHYYQHSKZI7E · pith_short_8: VHWDLHYY

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/VHWDLHYYQHSKZI7EVCAKTBAUXX \
  | 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: a9ec359f1881e4aca3e4a880a98414bde5524934048bec90a7182d9a5a201582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e397270753a3183aafca1355f71997382a2f69cb03938ed82970331f1abfbcf4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-23T09:18:21Z",
    "title_canon_sha256": "dd281dc252cff804fa9f30000b2020e8c510f728ef189dee345322db4d597909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16572",
    "kind": "arxiv",
    "version": 1
  }
}