Pith Number

pith:YSX2JGNR

pith:2011:YSX2JGNR7BW2BG2QVJR27GZP3X

not attested not anchored not stored refs pending

Illuminating spindle convex bodies and minimizing the volume of spherical sets of constant width

Karoly Bezdek

arxiv:1102.1194 v1 · 2011-02-06 · 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{YSX2JGNR7BW2BG2QVJR27GZP3X}

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	2026-05-18T03:34:00.168943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4afa499b1f86da09b50aa63af9b2fddd22074f1572b586a0ba46e5029f737a9

Aliases

arxiv: 1102.1194 · arxiv_version: 1102.1194v1 · doi: 10.48550/arxiv.1102.1194 · pith_short_12: YSX2JGNR7BW2 · pith_short_16: YSX2JGNR7BW2BG2Q · pith_short_8: YSX2JGNR

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/YSX2JGNR7BW2BG2QVJR27GZP3X \
  | 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: c4afa499b1f86da09b50aa63af9b2fddd22074f1572b586a0ba46e5029f737a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a91fde6cdf2e60b71af71f5e8aed29d5d336167e8e466ee6f613f5ea35264fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-02-06T20:11:01Z",
    "title_canon_sha256": "564269139fe00a4870e4722abe3878322795a2695400e44d6eb543cc279c1b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1194",
    "kind": "arxiv",
    "version": 1
  }
}