Pith Number

pith:ZVM456UP

pith:2017:ZVM456UPB4I7JS7V6GHGWN5ZJX

not attested not anchored not stored refs pending

The $(2,2)$ and $(4,3)$ properties in families of fat sets in the plane

Shiliang Gao, Shira Zerbib

arxiv:1711.05308 v1 · 2017-11-14 · 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{ZVM456UPB4I7JS7V6GHGWN5ZJX}

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	2026-05-18T00:30:33.685496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd59cefa8f0f11f4cbf5f18e6b37b94dca864f5075aab5ae05f614f79b249458

Aliases

arxiv: 1711.05308 · arxiv_version: 1711.05308v1 · doi: 10.48550/arxiv.1711.05308 · pith_short_12: ZVM456UPB4I7 · pith_short_16: ZVM456UPB4I7JS7V · pith_short_8: ZVM456UP

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/ZVM456UPB4I7JS7V6GHGWN5ZJX \
  | 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: cd59cefa8f0f11f4cbf5f18e6b37b94dca864f5075aab5ae05f614f79b249458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47358ae14afca04dd805318a3f953e72acaf34d4d9afd824226286c4f383aac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-14T20:45:19Z",
    "title_canon_sha256": "1ed1d3ae4ab59330f02a3d1ca5d84ed76212b40eb48fb5e8d17338bd8ddd175f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05308",
    "kind": "arxiv",
    "version": 1
  }
}