Pith Number

pith:PFH25FVX

pith:2019:PFH25FVXG4MC3TE3BVSLHWF4IC

not attested not anchored not stored refs pending

Some remarks about the maximal perimeter of convex sets with respect to probability measures

Galyna V. Livshyts

arxiv:1904.06814 v2 · 2019-04-15 · math.MG · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFH25FVXG4MC3TE3BVSLHWF4IC}

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.

Receipt and verification

First computed	2026-05-17T23:47:24.843229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794fae96b737182dcc9b0d64b3d8bc409a6a7e50cff7241e800e329597cd7d38

Aliases

arxiv: 1904.06814 · arxiv_version: 1904.06814v2 · doi: 10.48550/arxiv.1904.06814 · pith_short_12: PFH25FVXG4MC · pith_short_16: PFH25FVXG4MC3TE3 · pith_short_8: PFH25FVX

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/PFH25FVXG4MC3TE3BVSLHWF4IC \
  | 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: 794fae96b737182dcc9b0d64b3d8bc409a6a7e50cff7241e800e329597cd7d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1ec0301e6675a3972f1be453e2e722bcc6b811bdfa2156a57cf9f99b6c77f1",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-04-15T02:48:32Z",
    "title_canon_sha256": "65379b1b19f30b303d843f4e87fbd3d4b0028c5e389a9c15b105faf7cf9fafce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06814",
    "kind": "arxiv",
    "version": 2
  }
}