Pith Number

pith:L7DKQQDV

pith:2018:L7DKQQDVEOOVV3HDAGJLXB6YKV

not attested not anchored not stored refs pending

On the minimal value of global Tjurina numbers for line arrangements

Alexandru Dimca

arxiv:1806.02275 v2 · 2018-06-06 · math.AG · math.AC · 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{L7DKQQDVEOOVV3HDAGJLXB6YKV}

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	2026-05-17T23:56:15.132395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc6a84075239d5aece30192bb87d855754beae719756c0f8eda919592329c5e

Aliases

arxiv: 1806.02275 · arxiv_version: 1806.02275v2 · doi: 10.48550/arxiv.1806.02275 · pith_short_12: L7DKQQDVEOOV · pith_short_16: L7DKQQDVEOOVV3HD · pith_short_8: L7DKQQDV

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/L7DKQQDVEOOVV3HDAGJLXB6YKV \
  | 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: 5fc6a84075239d5aece30192bb87d855754beae719756c0f8eda919592329c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63eafe137388580403b077fb69fc2a498fa66d1932915349401a43e0f9c628d",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-06T16:11:30Z",
    "title_canon_sha256": "439873d26c7d3a2e0f3eb6dddffe93a28edd5d4f8dc1658d69d3fb2d8d7fe155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02275",
    "kind": "arxiv",
    "version": 2
  }
}