Pith Number

pith:FFDXEU6H

pith:2010:FFDXEU6H724J76XWRNYRYBW2VJ

not attested not anchored not stored refs pending

A measure of non-convexity in the plane and the Minkowski sum

R.N. Karasev

arxiv:1005.1140 v1 · 2010-05-07 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFDXEU6H724J76XWRNYRYBW2VJ}

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	2026-05-18T04:18:53.328223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29477253c7feb89ffaf68b711c06daaa70161a4c2f4e2fdecab34e9553ba97a1

Aliases

arxiv: 1005.1140 · arxiv_version: 1005.1140v1 · doi: 10.48550/arxiv.1005.1140 · pith_short_12: FFDXEU6H724J · pith_short_16: FFDXEU6H724J76XW · pith_short_8: FFDXEU6H

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/FFDXEU6H724J76XWRNYRYBW2VJ \
  | 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: 29477253c7feb89ffaf68b711c06daaa70161a4c2f4e2fdecab34e9553ba97a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d72e50b3aa4f295cb2464650739eb4cb8cea94fee72e92f6dc6c20bc6b707f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-05-07T06:52:20Z",
    "title_canon_sha256": "f5583236821a35acdb99acae4aeabb2447887fb7dc5ef9894d767f7de52d7105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1140",
    "kind": "arxiv",
    "version": 1
  }
}