Pith Number

pith:ZQYMKAJA

pith:2017:ZQYMKAJACVZB53JEZU526BCOCQ

not attested not anchored not stored refs pending

A characterization of high order freeness for product arrangements and answers to Holm's questions

Norihiro Nakashima, Takuro Abe

arxiv:1705.07417 v3 · 2017-05-21 · 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{ZQYMKAJACVZB53JEZU526BCOCQ}

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	2026-05-18T00:31:51.084600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc30c5012015721eed24cd3baf044e1422eedc26dd13efbbdb19c01a93b6872b

Aliases

arxiv: 1705.07417 · arxiv_version: 1705.07417v3 · doi: 10.48550/arxiv.1705.07417 · pith_short_12: ZQYMKAJACVZB · pith_short_16: ZQYMKAJACVZB53JE · pith_short_8: ZQYMKAJA

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/ZQYMKAJACVZB53JEZU526BCOCQ \
  | 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: cc30c5012015721eed24cd3baf044e1422eedc26dd13efbbdb19c01a93b6872b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f26b48eac5751ca4be3c70b3fb8df6982ae33dbba6b121f11de94466e241e31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-21T09:21:27Z",
    "title_canon_sha256": "d763bf227d4f851bee2b43368fa4601abc3c38af7aaede9969cebb15b5989861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07417",
    "kind": "arxiv",
    "version": 3
  }
}