Pith Number

pith:DSXOUQ7F

pith:2024:DSXOUQ7F5SVUPFGRA3YNGRD64K

not attested not anchored not stored refs pending

Mass, Conformal Capacity, and the Volumetric Penrose Inequality

Liam Mazurowski, Xuan Yao

arxiv:2410.09626 v1 · 2024-10-12 · math.DG · math-ph · math.CA · 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{DSXOUQ7F5SVUPFGRA3YNGRD64K}

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

Euclidean Domains with Nearly Maximal Yamabe Quotient

Receipt and verification

First computed	2026-07-05T09:19:41.796147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1caeea43e5ecab4794d106f0d3447ee29f41d62d895bf2a75959a9359622ee36

Aliases

arxiv: 2410.09626 · arxiv_version: 2410.09626v1 · doi: 10.48550/arxiv.2410.09626 · pith_short_12: DSXOUQ7F5SVU · pith_short_16: DSXOUQ7F5SVUPFGR · pith_short_8: DSXOUQ7F

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/DSXOUQ7F5SVUPFGRA3YNGRD64K \
  | 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: 1caeea43e5ecab4794d106f0d3447ee29f41d62d895bf2a75959a9359622ee36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a875f697bdb75c1af12c96a27351dafd8de9233c1636d1d16c7843ae9a5a27c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-12T19:31:06Z",
    "title_canon_sha256": "e3ac996aa449701db28002c77afca20b7db7cd80ff51fd04f694491b08b9a238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09626",
    "kind": "arxiv",
    "version": 1
  }
}