Pith Number

pith:64BSECAL

pith:2015:64BSECALZUIKF4EICJWEJL64YW

not attested not anchored not stored refs pending

The Quasi-normal Modes of Charged Scalar Fields in Kerr-Newman black hole and Its Geometric Interpretation

Peng Zhao, Xiaoning Wu, Yu Tian, Zhaoyong Sun

arxiv:1506.08276 v2 · 2015-06-27 · gr-qc · 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{64BSECALZUIKF4EICJWEJL64YW}

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	2026-05-18T01:22:39.494818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70322080bcd10a2f088126c44afdcc5830ae269a456ded7a24a96dadf3d082a

Aliases

arxiv: 1506.08276 · arxiv_version: 1506.08276v2 · doi: 10.48550/arxiv.1506.08276 · pith_short_12: 64BSECALZUIK · pith_short_16: 64BSECALZUIKF4EI · pith_short_8: 64BSECAL

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/64BSECALZUIKF4EICJWEJL64YW \
  | 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: f70322080bcd10a2f088126c44afdcc5830ae269a456ded7a24a96dadf3d082a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0edae65061580aa4225d7d1b0d2b604f9fbc7fc238282b9eccec1c5e1db288",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-27T10:14:27Z",
    "title_canon_sha256": "62be61f0353e744fd33353540b3e252e1ac6fd03a5a50bad02566939ab17cf72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08276",
    "kind": "arxiv",
    "version": 2
  }
}