Pith Number

pith:F2IN5ZAH

pith:2023:F2IN5ZAHDYK2BHZ3L4SRGP3GA2

not attested not anchored not stored refs pending

Isoperimetric inequalities vs. upper curvature bounds

Stefan Wenger, Stephan Stadler

arxiv:2309.11329 v1 · 2023-09-20 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2IN5ZAHDYK2BHZ3L4SRGP3GA2}

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

Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature

Receipt and verification

First computed	2026-07-05T10:33:30.702634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e90dee4071e15a09f3b5f25133f66068e9fd365edee9f702b671c603a873141

Aliases

arxiv: 2309.11329 · arxiv_version: 2309.11329v1 · doi: 10.48550/arxiv.2309.11329 · pith_short_12: F2IN5ZAHDYK2 · pith_short_16: F2IN5ZAHDYK2BHZ3 · pith_short_8: F2IN5ZAH

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/F2IN5ZAHDYK2BHZ3L4SRGP3GA2 \
  | 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: 2e90dee4071e15a09f3b5f25133f66068e9fd365edee9f702b671c603a873141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467b96f909ef7f9f260f2edde3446c90fb8d93c880b1a690829776ef1d90ff17",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-09-20T13:59:58Z",
    "title_canon_sha256": "dae7d8b8737396ac1d12c582502f0aac910f429ce995a3cd280b0f68e7b5039e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11329",
    "kind": "arxiv",
    "version": 1
  }
}