Pith Number

pith:AM4UZ2LI

pith:2022:AM4UZ2LIT3IPYND4YKBKZYWDSB

not attested not anchored not stored refs pending

Ladder operators and quasinormal modes in Ba\~{n}ados-Teitelboim-Zanelli black holes

Masashi Kimura, Takuya Katagiri

arxiv:2205.15610 v3 · 2022-05-31 · 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{AM4UZ2LIT3IPYND4YKBKZYWDSB}

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	2026-07-05T04:49:23.144675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03394ce9689ed0fc347cc282ace2c39076345d66a59698488a21ebff58adfac5

Aliases

arxiv: 2205.15610 · arxiv_version: 2205.15610v3 · doi: 10.48550/arxiv.2205.15610 · pith_short_12: AM4UZ2LIT3IP · pith_short_16: AM4UZ2LIT3IPYND4 · pith_short_8: AM4UZ2LI

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/AM4UZ2LIT3IPYND4YKBKZYWDSB \
  | 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: 03394ce9689ed0fc347cc282ace2c39076345d66a59698488a21ebff58adfac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab37509d95d046ab5107ca3acc54757d59992ed08788a33fa33a25f07de79599",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-31T08:52:33Z",
    "title_canon_sha256": "c67ec6e37f5aab7e273f7883d03e514f7041fc9ed8a827614557fc7b98b515e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15610",
    "kind": "arxiv",
    "version": 3
  }
}