Pith Number

pith:46ME5QF3

pith:2025:46ME5QF35IWGM6HYX2IP5Q3Z3K

not attested not anchored not stored refs pending

Addition theorems for Ziegler pairs of hyperplane arrangements

Lukas K\"uhne, Piotr Pokora, Takuro Abe

arxiv:2509.19011 v2 · 2025-09-23 · 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{46ME5QF35IWGM6HYX2IP5Q3Z3K}

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 semicontinuous relaxation of Saito's criterion and freeness as angular minimization

Receipt and verification

First computed	2026-06-11T01:09:17.528107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7984ec0bbea2c6678f8be90fec379dabf215af2f30f20991c9186574fc18dea

Aliases

arxiv: 2509.19011 · arxiv_version: 2509.19011v2 · doi: 10.48550/arxiv.2509.19011 · pith_short_12: 46ME5QF35IWG · pith_short_16: 46ME5QF35IWGM6HY · pith_short_8: 46ME5QF3

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/46ME5QF35IWGM6HYX2IP5Q3Z3K \
  | 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: e7984ec0bbea2c6678f8be90fec379dabf215af2f30f20991c9186574fc18dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91519dd364bc30c7034750268df9ec55949d1e30fde70e17e35bc39b3f16cf59",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-23T13:53:31Z",
    "title_canon_sha256": "7fe5b3d8c2cfd61523e643dd0e15550551d9de53d0034f0c65520794f9916ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.19011",
    "kind": "arxiv",
    "version": 2
  }
}