Pith Number

pith:N5NXBTPD

pith:2026:N5NXBTPDFLS4JUHZ3YLBGGEHDM

not attested not anchored not stored refs pending

Relaxation of Square-Freeness

Dominik K\"oppl, Hiroki Shibata, Shunsuke Inenaga, Takuya Mieno

arxiv:2607.00674 v1 · 2026-07-01 · 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{N5NXBTPDFLS4JUHZ3YLBGGEHDM}

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	2026-07-02T01:17:51.077527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5b70cde32ae5c4d0f9de161318871b2da1ea75f83d8de656bf77cabb4e778b

Aliases

arxiv: 2607.00674 · arxiv_version: 2607.00674v1 · doi: 10.48550/arxiv.2607.00674 · pith_short_12: N5NXBTPDFLS4 · pith_short_16: N5NXBTPDFLS4JUHZ · pith_short_8: N5NXBTPD

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/N5NXBTPDFLS4JUHZ3YLBGGEHDM \
  | 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: 6f5b70cde32ae5c4d0f9de161318871b2da1ea75f83d8de656bf77cabb4e778b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e390e033ad54f44d83652998e87052124c523e64e059b035c1746b9ccf6ea39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T09:19:35Z",
    "title_canon_sha256": "555e6ede82c78a4662aad2d070e414359f9de6610892f89197d679adce7533e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00674",
    "kind": "arxiv",
    "version": 1
  }
}