Pith Number

pith:H7Q4E2GQ

pith:2022:H7Q4E2GQH6VXPDIMEI7MT37V4V

not attested not anchored not stored refs pending

Piercing families of convex sets in the plane that avoid a certain subfamily with lines

Daniel McGinnis

arxiv:2204.10490 v1 · 2022-04-22 · 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{H7Q4E2GQH6VXPDIMEI7MT37V4V}

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	2026-07-05T04:16:57.607012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe1c268d03fab778d0c223ec9eff5e5690876d1e2c5b036ec74a2038e3f1aac

Aliases

arxiv: 2204.10490 · arxiv_version: 2204.10490v1 · doi: 10.48550/arxiv.2204.10490 · pith_short_12: H7Q4E2GQH6VX · pith_short_16: H7Q4E2GQH6VXPDIM · pith_short_8: H7Q4E2GQ

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/H7Q4E2GQH6VXPDIMEI7MT37V4V \
  | 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: 3fe1c268d03fab778d0c223ec9eff5e5690876d1e2c5b036ec74a2038e3f1aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c07db7fcd5a9fa4e8ba0cc9e51d8a3f4fd87fe6223331808d1208f4cf809ff",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-22T04:12:27Z",
    "title_canon_sha256": "e5921f5ead6ba4b7690383015ad235ef9ef2a0e5b9521587e1cfb2fc04d74ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10490",
    "kind": "arxiv",
    "version": 1
  }
}