Pith Number

pith:HH324GQY

pith:2011:HH324GQYYM2JAUE5GW3ARCI4GK

not attested not anchored not stored refs pending

Black hole instabilities and local Penrose inequalities

Harvey S. Reall, Keiju Murata, Pau Figueras

arxiv:1107.5785 v2 · 2011-07-28 · 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{HH324GQYYM2JAUE5GW3ARCI4GK}

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

1 paper in Pith

On turbulence for spacetimes with stable trapping

Receipt and verification

First computed	2026-05-18T02:01:08.115152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f7ae1a18c33490509d35b608891c32864691aa31ebbec74f00edd3d1fcd850

Aliases

arxiv: 1107.5785 · arxiv_version: 1107.5785v2 · doi: 10.48550/arxiv.1107.5785 · pith_short_12: HH324GQYYM2J · pith_short_16: HH324GQYYM2JAUE5 · pith_short_8: HH324GQY

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/HH324GQYYM2JAUE5GW3ARCI4GK \
  | 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: 39f7ae1a18c33490509d35b608891c32864691aa31ebbec74f00edd3d1fcd850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec2290d121603a8b618ed7edf66b1c438eee55eb258921dde6bb692a71e5c4a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-28T18:20:48Z",
    "title_canon_sha256": "781cd97ef09ff1dee42f5a6df3687a9272f15fedf4cb3b406deab1928e2ed7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5785",
    "kind": "arxiv",
    "version": 2
  }
}