Pith Number

pith:KJXNBFVX

pith:2008:KJXNBFVXFFRVR42O5UBUH5DBM5

not attested not anchored not stored refs pending

Periodicity of non-central integral arrangements modulo positive integers

Akimichi Takemura, Hidehiko Kamiya, Hiroaki Terao

arxiv:0803.2755 v1 · 2008-03-19 · 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{KJXNBFVXFFRVR42O5UBUH5DBM5}

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	2026-05-18T04:12:21.433423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526ed096b7296358f34eed0343f46167532528eb5f6cb43d090db6da2e3acda4

Aliases

arxiv: 0803.2755 · arxiv_version: 0803.2755v1 · doi: 10.48550/arxiv.0803.2755 · pith_short_12: KJXNBFVXFFRV · pith_short_16: KJXNBFVXFFRVR42O · pith_short_8: KJXNBFVX

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/KJXNBFVXFFRVR42O5UBUH5DBM5 \
  | 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: 526ed096b7296358f34eed0343f46167532528eb5f6cb43d090db6da2e3acda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c1d25a7c74d1bea69ac402877482fe6d1ee7fe3b062aa8eb001fee70578dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-03-19T06:13:17Z",
    "title_canon_sha256": "c8f24838e6bb333aa70f48126794f7a7abc87d08e3622390c6bf64a48f55b529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2755",
    "kind": "arxiv",
    "version": 1
  }
}