Pith Number

pith:FH4YT7FT

pith:2015:FH4YT7FT7NSXAJJ3QIBENR7YLA

not attested not anchored not stored refs pending

The Penrose inequality on perturbations of the Schwarzschild exterior

Spyros Alexakis

arxiv:1506.06400 v1 · 2015-06-21 · gr-qc · math.AP · 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{FH4YT7FT7NSXAJJ3QIBENR7YLA}

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

The spacetime Penrose inequality under a quasi final state hypothesis

Receipt and verification

First computed	2026-05-18T01:41:45.317663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f989fcb3fb6570253b820246c7f858287d7de553fefe3ed29524b4caa8aff7

Aliases

arxiv: 1506.06400 · arxiv_version: 1506.06400v1 · doi: 10.48550/arxiv.1506.06400 · pith_short_12: FH4YT7FT7NSX · pith_short_16: FH4YT7FT7NSXAJJ3 · pith_short_8: FH4YT7FT

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/FH4YT7FT7NSXAJJ3QIBENR7YLA \
  | 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: 29f989fcb3fb6570253b820246c7f858287d7de553fefe3ed29524b4caa8aff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f411213df311f82ede9ff0ea8bb33690d20adbf0398609df0ca796e6233987",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-21T18:52:47Z",
    "title_canon_sha256": "9a26608022262cca03b409f1075c1ea2f68a1c854f694bcfc737f8a83ad443b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06400",
    "kind": "arxiv",
    "version": 1
  }
}