Pith Number

pith:3ZEF6BWE

pith:2024:3ZEF6BWEGDG5EJYPBBY2JK3TTP

not attested not anchored not stored refs pending

Lensed fast radio bursts as a probe of time-varying gravitational potential induced by wave dark matter

Bing Zhang, He Gao, Kai Liao, Ran Gao, Shuxun Tian, Zhengxiang Li, Zong-Hong Zhu

arxiv:2412.01439 v2 · 2024-12-02 · astro-ph.GA · 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{3ZEF6BWEGDG5EJYPBBY2JK3TTP}

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	2026-07-05T10:55:27.215676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de485f06c430cdd2270f0871a4ab739bed618e5e75a1e74478a80501c9291fee

Aliases

arxiv: 2412.01439 · arxiv_version: 2412.01439v2 · doi: 10.48550/arxiv.2412.01439 · pith_short_12: 3ZEF6BWEGDG5 · pith_short_16: 3ZEF6BWEGDG5EJYP · pith_short_8: 3ZEF6BWE

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/3ZEF6BWEGDG5EJYPBBY2JK3TTP \
  | 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: de485f06c430cdd2270f0871a4ab739bed618e5e75a1e74478a80501c9291fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d00c49e06ffa781e0a2b7a4084c1e1bfdafbe2f0031cc19fe4593a244674c8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2024-12-02T12:29:15Z",
    "title_canon_sha256": "a9b6e03b7604cff1deee3fc58c03d24b69938f31c15b379404d16b4d0dbe2fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01439",
    "kind": "arxiv",
    "version": 2
  }
}