Pith Number

pith:YIR7OKT6

pith:2015:YIR7OKT6O7MNDOYCIOBHDNTZSB

not attested not anchored not stored refs pending

Reverse Cheeger inequality for planar convex sets

Enea Parini

arxiv:1501.04520 v1 · 2015-01-19 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIR7OKT6O7MNDOYCIOBHDNTZSB}

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	2026-05-18T02:29:08.811942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c223f72a7e77d8d1bb02438271b679906e6dead3fdc663375a4a50184a18637a

Aliases

arxiv: 1501.04520 · arxiv_version: 1501.04520v1 · doi: 10.48550/arxiv.1501.04520 · pith_short_12: YIR7OKT6O7MN · pith_short_16: YIR7OKT6O7MNDOYC · pith_short_8: YIR7OKT6

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/YIR7OKT6O7MNDOYCIOBHDNTZSB \
  | 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: c223f72a7e77d8d1bb02438271b679906e6dead3fdc663375a4a50184a18637a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bbe931f05737b2186d455e0b7709297f3c8a1a6636ea3c07d56863f4c3b0b7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-19T15:20:02Z",
    "title_canon_sha256": "8bad3d27e2d48bbf36f19b2045fba316ef78b5265ef1fd3e353223ab719c5858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04520",
    "kind": "arxiv",
    "version": 1
  }
}