Pith Number

pith:XF7RU26D

pith:2023:XF7RU26DETHNU7Z3LHO5UKW7J3

not attested not anchored not stored refs pending

Microlensing and event rate of static spherically symmetric wormhole

Ke Gao, Lei-Hua Liu

arxiv:2303.11134 v5 · 2023-03-20 · gr-qc · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF7RU26DETHNU7Z3LHO5UKW7J3}

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

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic

Receipt and verification

First computed	2026-07-05T09:07:43.204812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97f1a6bc324ceda7f3b59ddda2adf4efa2d4529951e033847ff6001877d5bc8

Aliases

arxiv: 2303.11134 · arxiv_version: 2303.11134v5 · doi: 10.48550/arxiv.2303.11134 · pith_short_12: XF7RU26DETHN · pith_short_16: XF7RU26DETHNU7Z3 · pith_short_8: XF7RU26D

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/XF7RU26DETHNU7Z3LHO5UKW7J3 \
  | 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: b97f1a6bc324ceda7f3b59ddda2adf4efa2d4529951e033847ff6001877d5bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acea719e1efe53d64d9d9dd9a80b500d891f4b77c79e953c29864f7de8f7f79c",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-20T14:11:55Z",
    "title_canon_sha256": "bbe414134bcd36742609e56c21d63be77861b2dcf5cd789dcf30dfe9768462af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11134",
    "kind": "arxiv",
    "version": 5
  }
}