Pith Number

pith:PJQU7H6P

pith:2026:PJQU7H6PJCTERHSOKCUCX2M6NP

not attested not anchored not stored refs pending

On Ziegler pairs of line arrangements: from non-existence to abundance

Alexandru Dimca, Piotr Pokora

arxiv:2606.20421 v1 · 2026-06-18 · 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{PJQU7H6PJCTERHSOKCUCX2M6NP}

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	2026-06-19T16:13:12.032270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a614f9fcf48a6489e4e50a82be99e6bcfae792c140a92954e5de3b1b9e7eb93

Aliases

arxiv: 2606.20421 · arxiv_version: 2606.20421v1 · doi: 10.48550/arxiv.2606.20421 · pith_short_12: PJQU7H6PJCTE · pith_short_16: PJQU7H6PJCTERHSO · pith_short_8: PJQU7H6P

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/PJQU7H6PJCTERHSOKCUCX2M6NP \
  | 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: 7a614f9fcf48a6489e4e50a82be99e6bcfae792c140a92954e5de3b1b9e7eb93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ec5ec0ef47a6dd671a0e648f7382e2635e1fd48f5250d0bff9560ed6d7dea2",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-18T16:05:35Z",
    "title_canon_sha256": "0e18ff9105cc92288a3d369783a4a2691586b7d9e410788009426ece3870bf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20421",
    "kind": "arxiv",
    "version": 1
  }
}