Pith Number

pith:OYZ7ZYSQ

pith:2023:OYZ7ZYSQZXPMKIINYOUBSIHXEY

not attested not anchored not stored refs pending

Free paths of arrangements of hyperplanes

Takuro Abe, Toru Yamaguchi

arxiv:2306.11310 v1 · 2023-06-20 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYZ7ZYSQZXPMKIINYOUBSIHXEY}

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

Extendability of the $B_2$-arrangement

Receipt and verification

First computed	2026-07-05T06:22:18.141856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7633fce250cddec5210dc3a81920f7260731729482ca47d98ad23dbf3485082c

Aliases

arxiv: 2306.11310 · arxiv_version: 2306.11310v1 · doi: 10.48550/arxiv.2306.11310 · pith_short_12: OYZ7ZYSQZXPM · pith_short_16: OYZ7ZYSQZXPMKIIN · pith_short_8: OYZ7ZYSQ

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/OYZ7ZYSQZXPMKIINYOUBSIHXEY \
  | 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: 7633fce250cddec5210dc3a81920f7260731729482ca47d98ad23dbf3485082c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a534e2c11840185993059e87140c46edee058d6f7bbd381809b2a6ec25acc3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-20T06:10:56Z",
    "title_canon_sha256": "cf98ce3f51911f91e465172c88dc4303f33ed9b8bac74c1607385d4456407e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11310",
    "kind": "arxiv",
    "version": 1
  }
}