Pith Number

pith:JKEXIPKU

pith:2011:JKEXIPKU7FGHCRM4567KUHLP3M

not attested not anchored not stored refs pending

On maximal S-free sets and the Helly number for the family of S-convex sets

Gennadiy Averkov

arxiv:1109.6179 v3 · 2011-09-28 · math.OC · math.CO · 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{JKEXIPKU7FGHCRM4567KUHLP3M}

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	2026-05-18T03:19:13.475857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a89743d54f94c71459cefbeaa1d6fdb087f2f96a89f64a107955909767b63b8

Aliases

arxiv: 1109.6179 · arxiv_version: 1109.6179v3 · doi: 10.48550/arxiv.1109.6179 · pith_short_12: JKEXIPKU7FGH · pith_short_16: JKEXIPKU7FGHCRM4 · pith_short_8: JKEXIPKU

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/JKEXIPKU7FGHCRM4567KUHLP3M \
  | 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: 4a89743d54f94c71459cefbeaa1d6fdb087f2f96a89f64a107955909767b63b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5952438fb467cbd79d085b386de207f1d0c4891cde9232f57d935661cb54e7",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-28T12:00:54Z",
    "title_canon_sha256": "ac4baa90721dfb4cef96c4b2134a3f30f646fd667bb0c63e915343c4c75e1263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6179",
    "kind": "arxiv",
    "version": 3
  }
}