Pith Number

pith:L3ILQC4N

pith:2021:L3ILQC4N4OQKO7DEWXZ2PNJFKJ

not attested not anchored not stored refs pending

Intersection patterns in spaces with a forbidden homological minor

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

arxiv:2103.09286 v4 · 2021-03-16 · cs.CG · 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{L3ILQC4N4OQKO7DEWXZ2PNJFKJ}

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

A fractional Helly theorem for set systems with slowly growing homological shatter function

Receipt and verification

First computed	2026-05-20T00:04:03.041118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed0b80b8de3a0a77c64b5f3a7b525524381e4a70df3146f0352d66ed16c04f1

Aliases

arxiv: 2103.09286 · arxiv_version: 2103.09286v4 · doi: 10.48550/arxiv.2103.09286 · pith_short_12: L3ILQC4N4OQK · pith_short_16: L3ILQC4N4OQKO7DE · pith_short_8: L3ILQC4N

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/L3ILQC4N4OQKO7DEWXZ2PNJFKJ \
  | 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: 5ed0b80b8de3a0a77c64b5f3a7b525524381e4a70df3146f0352d66ed16c04f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63345f92f7239df19ba977033c00fa8e49c51225a98a11ed05c90f1f05596b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2021-03-16T19:05:54Z",
    "title_canon_sha256": "c72e46ce83880b5b707c004faa2aa9a6b9f3abe525c3016d98637d73e9d4faa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09286",
    "kind": "arxiv",
    "version": 4
  }
}