Pith Number

pith:P4QHML5V

pith:2022:P4QHML5VPD62I265SR6P6NS5Y6

not attested not anchored not stored refs pending

Gravitational microlensing by dressed primordial black holes

Rong-Gen Cai, Shao-Jiang Wang, Tan Chen, Xing-Yu Yang

arxiv:2210.02078 v2 · 2022-10-05 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4QHML5VPD62I265SR6P6NS5Y6}

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

3 papers in Pith

Primordial black hole formation in bulk-viscous cosmology

$\tt BlackHawk$ $\tt v3.0$: Hawking Radiation from Regular Black Holes

Ultralight dark matter mixed with primordial black holes

Receipt and verification

First computed	2026-07-05T05:53:34.104303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f20762fb578fda46bdd947cff365dc793e4925c12568d7b0e75c7daded39801

Aliases

arxiv: 2210.02078 · arxiv_version: 2210.02078v2 · doi: 10.48550/arxiv.2210.02078 · pith_short_12: P4QHML5VPD62 · pith_short_16: P4QHML5VPD62I265 · pith_short_8: P4QHML5V

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/P4QHML5VPD62I265SR6P6NS5Y6 \
  | 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: 7f20762fb578fda46bdd947cff365dc793e4925c12568d7b0e75c7daded39801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e493162fc84bd8a61b32c631eaec97bcf621b0669b991319ee83a73a23623e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-10-05T08:09:29Z",
    "title_canon_sha256": "1b6972ce8bc90195318499e1c29bd480811c6f1a549affe3e9d9d2eb5140bd44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02078",
    "kind": "arxiv",
    "version": 2
  }
}