Pith Number

pith:FNMK46V7

pith:2010:FNMK46V7QBZQ5PQXA6APZQJXIK

not attested not anchored not stored refs pending

Entropy/Area spectra of the charged black hole from quasinormal modes

Ke Yang, Shao-Wen Wei, Yuan Zhong, Yu-Xiao Liu

arxiv:1002.1553 v3 · 2010-02-08 · hep-th · 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{FNMK46V7QBZQ5PQXA6APZQJXIK}

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	2026-05-18T02:33:48.522016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b58ae7abf80730ebe170780fcc13742a94c71866e1073afc86ffd8496a994f7

Aliases

arxiv: 1002.1553 · arxiv_version: 1002.1553v3 · doi: 10.48550/arxiv.1002.1553 · pith_short_12: FNMK46V7QBZQ · pith_short_16: FNMK46V7QBZQ5PQX · pith_short_8: FNMK46V7

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/FNMK46V7QBZQ5PQXA6APZQJXIK \
  | 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: 2b58ae7abf80730ebe170780fcc13742a94c71866e1073afc86ffd8496a994f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd63b541c6153387841203b9d2f22e4461a91910def917bbb534c2163d91a19",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-08T09:06:10Z",
    "title_canon_sha256": "f21be2a416a04d83f9a1d51d25ec351c4f7c4ebecd133dc5356a46d39206d5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1553",
    "kind": "arxiv",
    "version": 3
  }
}