pith. sign in
Pith Number

pith:MS4UVYXU

pith:2016:MS4UVYXUIJVM3DDRNEY4PC6XG6
not attested not anchored not stored refs pending

An easy way to a theorem of Kira Adaricheva and Madina Bolat on convexity and circles

G\'abor Cz\'edli

arxiv:1610.02540 v2 · 2016-10-08 · math.MG · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MS4UVYXUIJVM3DDRNEY4PC6XG6}

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 2026-05-18T00:43:48.036498Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

64b94ae2f4426acd8c716931c78bd737bce78a4b3da22e7c0007a57d7b36784d

Aliases

arxiv: 1610.02540 · arxiv_version: 1610.02540v2 · doi: 10.48550/arxiv.1610.02540 · pith_short_12: MS4UVYXUIJVM · pith_short_16: MS4UVYXUIJVM3DDR · pith_short_8: MS4UVYXU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MS4UVYXUIJVM3DDRNEY4PC6XG6 \
  | 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: 64b94ae2f4426acd8c716931c78bd737bce78a4b3da22e7c0007a57d7b36784d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a62c6056e3eaee06dfa2da116243c88d881a5c61acf3b17b8dbd314f72fdef43",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-08T14:44:28Z",
    "title_canon_sha256": "612c023763851cab02f36c270ef5302199b1434b8a09f5a813c98c4d41d9879c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02540",
    "kind": "arxiv",
    "version": 2
  }
}