Pith Number

pith:IC5RGXK4

pith:2021:IC5RGXK46EKHD5DOTXD3RG56S3

not attested not anchored not stored refs pending

The Aretakis constants and instability in general spherically symmetric extremal black hole spacetimes: higher multipole modes, late-time tails, and geometrical meanings

Masashi Kimura, Takuya Katagiri

arxiv:2112.09832 v2 · 2021-12-18 · 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{IC5RGXK46EKHD5DOTXD3RG56S3}

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	2026-07-05T04:13:48.458617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40bb135d5cf11471f46e9dc7b89bbe96e8121aa621fda56e95c7d5e27c8b110f

Aliases

arxiv: 2112.09832 · arxiv_version: 2112.09832v2 · doi: 10.48550/arxiv.2112.09832 · pith_short_12: IC5RGXK46EKH · pith_short_16: IC5RGXK46EKHD5DO · pith_short_8: IC5RGXK4

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/IC5RGXK46EKHD5DOTXD3RG56S3 \
  | 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: 40bb135d5cf11471f46e9dc7b89bbe96e8121aa621fda56e95c7d5e27c8b110f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42b037cd665cf7490a0ccc3fb1a5df7888e1d09fe1c7f9f3d6fcd691cd31a74",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-18T03:27:13Z",
    "title_canon_sha256": "3717f9e3a5e5fbc40fec98d90ba492ce455f2e67b7305d6fdffdb0f15226ee3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09832",
    "kind": "arxiv",
    "version": 2
  }
}