Pith Number

pith:DVQZ4YCK

pith:2012:DVQZ4YCKYYXXHFYCPR2L666M2U

not attested not anchored not stored refs pending

Disjoint empty disks supported by a point set

Adrian Dumitrescu, Minghui Jiang

arxiv:1203.0563 v2 · 2012-03-02 · 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{DVQZ4YCKYYXXHFYCPR2L666M2U}

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	2026-05-18T03:49:58.115004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d619e604ac62f7397027c74bf7bccd5312037c7b1d08d66b9e16ab604f8a0ff

Aliases

arxiv: 1203.0563 · arxiv_version: 1203.0563v2 · doi: 10.48550/arxiv.1203.0563 · pith_short_12: DVQZ4YCKYYXX · pith_short_16: DVQZ4YCKYYXXHFYC · pith_short_8: DVQZ4YCK

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/DVQZ4YCKYYXXHFYCPR2L666M2U \
  | 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: 1d619e604ac62f7397027c74bf7bccd5312037c7b1d08d66b9e16ab604f8a0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29fbb8f31a5d920011054f0b44b9c69520580b8f2da929b3d07bdc8bf7568c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-02T20:49:21Z",
    "title_canon_sha256": "1947f1751c38153b735d743d02792534497c0791bbefee86dbde23112c982a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0563",
    "kind": "arxiv",
    "version": 2
  }
}