Pith Number

pith:HJOAFDDP

pith:2020:HJOAFDDPKM4IBEBTC6MFH27TKL

not attested not anchored not stored refs pending

A family of convex sets in the plane satisfying the $(4,3)$-property can be pierced by nine points

Daniel McGinnis

arxiv:2010.13195 v1 · 2020-10-25 · 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{HJOAFDDPKM4IBEBTC6MFH27TKL}

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	2026-07-05T01:45:52.810068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5c028c6f5338809033179853ebf352df7ff7239077531b488c8e728ffd26e2

Aliases

arxiv: 2010.13195 · arxiv_version: 2010.13195v1 · doi: 10.48550/arxiv.2010.13195 · pith_short_12: HJOAFDDPKM4I · pith_short_16: HJOAFDDPKM4IBEBT · pith_short_8: HJOAFDDP

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/HJOAFDDPKM4IBEBTC6MFH27TKL \
  | 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: 3a5c028c6f5338809033179853ebf352df7ff7239077531b488c8e728ffd26e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578829e63ec0a09d8e1ef012ffa497401ba090abe1cd46830e54ef3e77fd6fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-25T19:10:41Z",
    "title_canon_sha256": "5e2bb6ac081ade35cefe7a3246a08afb006f6bc8273d25294473022dfbff201e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.13195",
    "kind": "arxiv",
    "version": 1
  }
}