Pith Number

pith:LOPZADTP

pith:2012:LOPZADTPOPGGT332U2J7NFAFBW

not attested not anchored not stored refs pending

On the stability operator for MOTS and the 'core' of Black Holes

Jos\'e M.M. Senovilla

arxiv:1210.3731 v1 · 2012-10-13 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOPZADTPOPGGT332U2J7NFAFBW}

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

2 papers in Pith

Thermodynamics of dynamical black holes beyond perturbation theory

New bounds for the area of MOTS and generalized ultra-massive spacetimes

Receipt and verification

First computed	2026-05-18T03:43:17.238035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9f900e6f73cc69ef7aa693f694050d8daa621ecd9a53daf4d32569dba1ac92

Aliases

arxiv: 1210.3731 · arxiv_version: 1210.3731v1 · doi: 10.48550/arxiv.1210.3731 · pith_short_12: LOPZADTPOPGG · pith_short_16: LOPZADTPOPGGT332 · pith_short_8: LOPZADTP

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/LOPZADTPOPGGT332U2J7NFAFBW \
  | 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: 5b9f900e6f73cc69ef7aa693f694050d8daa621ecd9a53daf4d32569dba1ac92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f458faa0691f34f9eccf0c8268011f21e2cdf78fc7660024bc58fb8e9824a143",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-13T18:17:19Z",
    "title_canon_sha256": "fd2e23163da3812a91e17914ec3645001f99447554410fae560c4d35b03403d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3731",
    "kind": "arxiv",
    "version": 1
  }
}