Pith Number

pith:4B5SUK6N

pith:2016:4B5SUK6NG2ZO325Y5FOMW7M762

not attested not anchored not stored refs pending

Heavy hyperplanes in multiarrangements and their freeness

Lukas K\"uhne, Takuro Abe

arxiv:1603.05803 v1 · 2016-03-18 · math.CO · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B5SUK6NG2ZO325Y5FOMW7M762}

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	2026-05-17T23:44:23.242885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07b2a2bcd36b2edebb8e95ccb7d9ff6acf4f771500c3b204de73cc4711c3991

Aliases

arxiv: 1603.05803 · arxiv_version: 1603.05803v1 · doi: 10.48550/arxiv.1603.05803 · pith_short_12: 4B5SUK6NG2ZO · pith_short_16: 4B5SUK6NG2ZO325Y · pith_short_8: 4B5SUK6N

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/4B5SUK6NG2ZO325Y5FOMW7M762 \
  | 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: e07b2a2bcd36b2edebb8e95ccb7d9ff6acf4f771500c3b204de73cc4711c3991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64deabcf126d96969e12d4ac0e2eae32b37d869dc47f3c919161500e6f07fcce",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-18T09:35:44Z",
    "title_canon_sha256": "64fa0b48d7eef200a3278085dcce46c2119cec968fe3bfb4bf51734ed80d9242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05803",
    "kind": "arxiv",
    "version": 1
  }
}