Pith Number

pith:2HJFQ4HA

pith:2011:2HJFQ4HAV57LP27AMMHOGB2TL6

not attested not anchored not stored refs pending

Upper bounds for the piercing number of families of pairwise intersecting convex polygons

David Nashtir, Meir Katchalski

arxiv:1201.0241 v2 · 2011-12-31 · 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{2HJFQ4HAV57LP27AMMHOGB2TL6}

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	2026-05-18T04:05:15.712288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d25870e0af7eb7ebe0630ee307535fae09dbe82e9582090a6871593eb3e9ae

Aliases

arxiv: 1201.0241 · arxiv_version: 1201.0241v2 · doi: 10.48550/arxiv.1201.0241 · pith_short_12: 2HJFQ4HAV57L · pith_short_16: 2HJFQ4HAV57LP27A · pith_short_8: 2HJFQ4HA

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/2HJFQ4HAV57LP27AMMHOGB2TL6 \
  | 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: d1d25870e0af7eb7ebe0630ee307535fae09dbe82e9582090a6871593eb3e9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888be5083b6d54dafe252a87015b1c9af2bdf8f8cc1719a51d8dc34bc08aa794",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-31T08:10:40Z",
    "title_canon_sha256": "881c3e04f5c566c8e9a44f71a1ff6fcc19bb53e16875ab96e239893ea99ce7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0241",
    "kind": "arxiv",
    "version": 2
  }
}