Pith Number

pith:FMG6CPHQ

pith:2024:FMG6CPHQAP6J6M536WQR5L62HF

not attested not anchored not stored refs pending

Quasinormal modes of a d-dimensional regular black hole featuring an integrable singularity

Dan Zhang, Guoyang Fu, Jian-Pin Wu, Zhongzhinan Dong

arxiv:2412.20457 v2 · 2024-12-29 · 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{FMG6CPHQAP6J6M536WQR5L62HF}

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	2026-07-05T10:26:12.190517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0de13cf003fc9f33bbf5a11eafda3961d4bbf4a486a85a69a047747f08515e

Aliases

arxiv: 2412.20457 · arxiv_version: 2412.20457v2 · doi: 10.48550/arxiv.2412.20457 · pith_short_12: FMG6CPHQAP6J · pith_short_16: FMG6CPHQAP6J6M53 · pith_short_8: FMG6CPHQ

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/FMG6CPHQAP6J6M536WQR5L62HF \
  | 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: 2b0de13cf003fc9f33bbf5a11eafda3961d4bbf4a486a85a69a047747f08515e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95088a77ab823bcdd833136300e59b809f132911cb3833c06a5f22bac5922108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-29T12:55:39Z",
    "title_canon_sha256": "054898f5e66dffed31cadef21b0a95079f5654762ec03fd65576497cd01b88b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20457",
    "kind": "arxiv",
    "version": 2
  }
}