Pith Number

pith:YO55UF2Q

pith:2025:YO55UF2QE4BXGFT5OHSXR56MS5

not attested not anchored not stored refs pending

Stationary gravitational modes on Kerr-anti-de Sitter spacetimes

Olivier Graf

arxiv:2506.18524 v1 · 2025-06-23 · math.AP · 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{YO55UF2QE4BXGFT5OHSXR56MS5}

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	2026-07-05T11:25:51.453681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3bbda1750270373167d71e578f7cc9778183cf9781bf25040e45ef68a370ac1

Aliases

arxiv: 2506.18524 · arxiv_version: 2506.18524v1 · doi: 10.48550/arxiv.2506.18524 · pith_short_12: YO55UF2QE4BX · pith_short_16: YO55UF2QE4BXGFT5 · pith_short_8: YO55UF2Q

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/YO55UF2QE4BXGFT5OHSXR56MS5 \
  | 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: c3bbda1750270373167d71e578f7cc9778183cf9781bf25040e45ef68a370ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b51368d28add880c4404e89abba619216c2fbb074b7f1655dcef1a16ce8d971",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-23T11:26:52Z",
    "title_canon_sha256": "6c2b3ed703283c3f157803d8d44ef7b7b9573ef105232db30ac8b6213db881ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18524",
    "kind": "arxiv",
    "version": 1
  }
}