Pith Number

pith:P3GKNLEE

pith:2012:P3GKNLEEVXCNAZ4OCDB5TRO3VY

not attested not anchored not stored refs pending

Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole

Yong-Wan Kim, Young-Jai Park, Yun Soo Myung

arxiv:1204.3706 v2 · 2012-04-17 · 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{P3GKNLEEVXCNAZ4OCDB5TRO3VY}

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	2026-05-18T03:22:42.074367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecca6ac84adc4d0678e10c3d9c5dbae1476aa0df2453522d29da19cd8418276

Aliases

arxiv: 1204.3706 · arxiv_version: 1204.3706v2 · doi: 10.48550/arxiv.1204.3706 · pith_short_12: P3GKNLEEVXCN · pith_short_16: P3GKNLEEVXCNAZ4O · pith_short_8: P3GKNLEE

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/P3GKNLEEVXCNAZ4OCDB5TRO3VY \
  | 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: 7ecca6ac84adc4d0678e10c3d9c5dbae1476aa0df2453522d29da19cd8418276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f91c942e5e35e38951e8ae71edb6139b5d8cbb61338eda1ecd7db77c03d89af",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-17T06:00:44Z",
    "title_canon_sha256": "06ab71402290bec7fafe5263e611176918843b09771fbbc4755cf848828bb985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3706",
    "kind": "arxiv",
    "version": 2
  }
}