Pith Number

pith:JC6P5TAY

pith:2024:JC6P5TAYNPH7SMCFMZXQ2MGG2D

not attested not anchored not stored refs pending

The fractional Helly number for separable convexity spaces

Andreas F. Holmsen, Zuzana Pat\'akov\'a

arxiv:2412.01445 v3 · 2024-12-02 · 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{JC6P5TAYNPH7SMCFMZXQ2MGG2D}

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.

Cited by

1 paper in Pith

Helly-type theorems for separated $d$-intervals

Receipt and verification

First computed	2026-07-05T10:15:47.820421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48bcfecc186bcff93045666f0d30c6d0ea27c77cdb7e3f81ea83a7636dd0f553

Aliases

arxiv: 2412.01445 · arxiv_version: 2412.01445v3 · doi: 10.48550/arxiv.2412.01445 · pith_short_12: JC6P5TAYNPH7 · pith_short_16: JC6P5TAYNPH7SMCF · pith_short_8: JC6P5TAY

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/JC6P5TAYNPH7SMCFMZXQ2MGG2D \
  | 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: 48bcfecc186bcff93045666f0d30c6d0ea27c77cdb7e3f81ea83a7636dd0f553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f3b477db71a2e95aab8ffcb795132e7d95ff06509b7d6049c5e040568df30ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-02T12:34:43Z",
    "title_canon_sha256": "9d31ec5b698f62a05276b2b1139cb8302238912050fb0edc2e5b1ebbbd177b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01445",
    "kind": "arxiv",
    "version": 3
  }
}