Pith Number

pith:26OG3TK7

pith:2024:26OG3TK7QFJ2AX723XR7FX7SXS

not attested not anchored not stored refs pending

Extremal black hole formation as a critical phenomenon

Christoph Kehle, Ryan Unger

arxiv:2402.10190 v1 · 2024-02-15 · gr-qc · math-ph · math.AP · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26OG3TK7QFJ2AX723XR7FX7SXS}

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.

Cited by

4 papers in Pith

Nonlinear stability of subextremal Kerr black holes

Gravitational collapse in the vicinity of the extremal black hole critical point

Thermodynamics of dynamical black holes beyond perturbation theory

The balance problem for $n$ aligned black holes

Receipt and verification

First computed	2026-07-05T07:45:42.525397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79c6dcd5f8153a05ffadde3f2dff2bc97f6d0706670a2706a31f38b2d7ee58a

Aliases

arxiv: 2402.10190 · arxiv_version: 2402.10190v1 · doi: 10.48550/arxiv.2402.10190 · pith_short_12: 26OG3TK7QFJ2 · pith_short_16: 26OG3TK7QFJ2AX72 · pith_short_8: 26OG3TK7

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/26OG3TK7QFJ2AX723XR7FX7SXS \
  | 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: d79c6dcd5f8153a05ffadde3f2dff2bc97f6d0706670a2706a31f38b2d7ee58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91d4fb90ccaf623ad1726f6027fd78495de504de3d940995358e482d042f1e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-15T18:46:40Z",
    "title_canon_sha256": "03ef528272832606ce1ed847940be6849d2d435ab06f427d4085f090ffa6b77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10190",
    "kind": "arxiv",
    "version": 1
  }
}