Pith Number

pith:CQ2GWYMS

pith:2015:CQ2GWYMSURUQ4LBXPPB7CCUCAU

not attested not anchored not stored refs pending

Helly numbers of Algebraic Subsets of $\mathbb R^d$

D. Oliveros, E. Rold\'an-Pensado, J. A. De Loera, R. N. La Haye

arxiv:1508.02380 v1 · 2015-08-10 · 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{CQ2GWYMSURUQ4LBXPPB7CCUCAU}

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	2026-05-18T01:35:33.373365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14346b6192a4690e2c377bc3f10a8205213840db9735c0fbc7b4b5b7ea9193e9

Aliases

arxiv: 1508.02380 · arxiv_version: 1508.02380v1 · doi: 10.48550/arxiv.1508.02380 · pith_short_12: CQ2GWYMSURUQ · pith_short_16: CQ2GWYMSURUQ4LBX · pith_short_8: CQ2GWYMS

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/CQ2GWYMSURUQ4LBXPPB7CCUCAU \
  | 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: 14346b6192a4690e2c377bc3f10a8205213840db9735c0fbc7b4b5b7ea9193e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a6d9d4b662311405388ba07866a6b0872659cf6c868b74a8eda7a849ce106f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-10T19:57:10Z",
    "title_canon_sha256": "3e81d0a078cf6447a054ad71df29af8d151c9e9d4f9d8e2bfccb481e6c71f8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02380",
    "kind": "arxiv",
    "version": 1
  }
}