Pith Number

pith:QZ7KJU7D

pith:2019:QZ7KJU7DIVHHJ5ERGJCLKW2KLJ

not attested not anchored not stored refs pending

Modular Construction of Free Hyperplane Arrangements

Shuhei Tsujie

arxiv:1908.01535 v4 · 2019-08-05 · 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{QZ7KJU7DIVHHJ5ERGJCLKW2KLJ}

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	2026-07-05T01:29:00.449655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867ea4d3e3454e74f4913244b55b4a5a4019428fe484ad0edb9cb1d88833c64a

Aliases

arxiv: 1908.01535 · arxiv_version: 1908.01535v4 · doi: 10.48550/arxiv.1908.01535 · pith_short_12: QZ7KJU7DIVHH · pith_short_16: QZ7KJU7DIVHHJ5ER · pith_short_8: QZ7KJU7D

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/QZ7KJU7DIVHHJ5ERGJCLKW2KLJ \
  | 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: 867ea4d3e3454e74f4913244b55b4a5a4019428fe484ad0edb9cb1d88833c64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72614414058951a72352b16705c80148c637933ed91db3af9df4748a76286a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-05T09:42:11Z",
    "title_canon_sha256": "0b2d547479a6a2759c440127cfff3fe044844c10469410470a81a869e51a42d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01535",
    "kind": "arxiv",
    "version": 4
  }
}