Pith Number

pith:HC7UKTC3

pith:2020:HC7UKTC34H5XROEVDMM5RAKHHF

not attested not anchored not stored refs pending

On quasinormal frequencies of black hole perturbations with an external source

Bin Wang, Jian-Pin Wu, Kai Lin, Rui-Hong Yue, Wei-Liang Qian

arxiv:2006.07122 v5 · 2020-06-12 · gr-qc · astro-ph.HE · 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{HC7UKTC34H5XROEVDMM5RAKHHF}

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	2026-07-05T01:55:56.000086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38bf454c5be1fb78b8951b19d881473974ac2617fb8d4287e1fcdd89d5f65d93

Aliases

arxiv: 2006.07122 · arxiv_version: 2006.07122v5 · doi: 10.48550/arxiv.2006.07122 · pith_short_12: HC7UKTC34H5X · pith_short_16: HC7UKTC34H5XROEV · pith_short_8: HC7UKTC3

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/HC7UKTC34H5XROEVDMM5RAKHHF \
  | 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: 38bf454c5be1fb78b8951b19d881473974ac2617fb8d4287e1fcdd89d5f65d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b1ff110bbc0d5efdc2e8a07b886db01748cc26e6f70d632ea88ff5eebda105",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-12T12:30:11Z",
    "title_canon_sha256": "f0063467e476e1b6f866260e47a9ba92f33c349abd7923f26a96596cd2a71185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07122",
    "kind": "arxiv",
    "version": 5
  }
}