Pith Number

pith:IJ3OMP7L

pith:2021:IJ3OMP7LG4NRWZ7O2JXNDDHIO3

not attested not anchored not stored refs pending

The BH-PSR Gravitational Molecule

Kun-Feng Lyu, Tao Liu

arxiv:2107.09971 v3 · 2021-07-21 · astro-ph.HE · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ3OMP7LG4NRWZ7O2JXNDDHIO3}

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

Gravitational superfluorescence from superradiant axion clouds

Receipt and verification

First computed	2026-07-05T04:38:43.472681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4276e63feb371b1b67eed26ed18ce876cc77807ef3402e489d9546d655290c99

Aliases

arxiv: 2107.09971 · arxiv_version: 2107.09971v3 · doi: 10.48550/arxiv.2107.09971 · pith_short_12: IJ3OMP7LG4NR · pith_short_16: IJ3OMP7LG4NRWZ7O · pith_short_8: IJ3OMP7L

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/IJ3OMP7LG4NRWZ7O2JXNDDHIO3 \
  | 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: 4276e63feb371b1b67eed26ed18ce876cc77807ef3402e489d9546d655290c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa18bcb1664592570031a77b14ada19766d5dfa354ccad688009f758fa600a77",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2021-07-21T09:32:48Z",
    "title_canon_sha256": "f314a406af589b94b0aa14471cbd18655a82153897e2a49101fcf200ea283820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09971",
    "kind": "arxiv",
    "version": 3
  }
}