Pith Number

pith:GL746676

pith:2015:GL746676USPC2CTMFXWAKF42OH

not attested not anchored not stored refs pending

On the covering index of convex bodies

Karoly Bezdek, Muhammad A. Khan

arxiv:1503.03111 v4 · 2015-03-10 · 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{GL746676USPC2CTMFXWAKF42OH}

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	2026-05-18T00:45:58.988770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ffcf7bfea49e2d0a6c2dec05179a71f1ae289de854a590dc41ea2f3f0de2fb

Aliases

arxiv: 1503.03111 · arxiv_version: 1503.03111v4 · doi: 10.48550/arxiv.1503.03111 · pith_short_12: GL746676USPC · pith_short_16: GL746676USPC2CTM · pith_short_8: GL746676

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/GL746676USPC2CTMFXWAKF42OH \
  | 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: 32ffcf7bfea49e2d0a6c2dec05179a71f1ae289de854a590dc41ea2f3f0de2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242baad8134776171045bc0452cf05cb76805435dd41eebc30f7fb8c6731d78a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-10T21:55:07Z",
    "title_canon_sha256": "b0c59c6edc380e03c9967067ec1f88baf5a398f9cf2ddbd0ffdddf26f875573e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03111",
    "kind": "arxiv",
    "version": 4
  }
}