Pith Number

pith:AA5CZFQN

pith:2007:AA5CZFQNVSSIII6NHVPDOJIENC

not attested not anchored not stored refs pending

Exponents of 2-multiarrangements and multiplicity lattices

Takuro Abe, Yasuhide Numata

arxiv:0706.0009 v2 · 2007-05-31 · math.CO · 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{AA5CZFQNVSSIII6NHVPDOJIENC}

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	2026-05-18T02:59:45.827801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003a2c960daca48423cd3d5e37250468af86813584143e70bec51f1c97d8ea7f

Aliases

arxiv: 0706.0009 · arxiv_version: 0706.0009v2 · doi: 10.48550/arxiv.0706.0009 · pith_short_12: AA5CZFQNVSSI · pith_short_16: AA5CZFQNVSSIII6N · pith_short_8: AA5CZFQN

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/AA5CZFQNVSSIII6NHVPDOJIENC \
  | 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: 003a2c960daca48423cd3d5e37250468af86813584143e70bec51f1c97d8ea7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58005a4d081353e678a77be50507d4b1594b549d5eb4f4a264c67a8db757236e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-05-31T20:17:36Z",
    "title_canon_sha256": "032a7529f06db09038b42c5ac7610bb38022db99f1b802633b5da364c31cef62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0009",
    "kind": "arxiv",
    "version": 2
  }
}