Pith Number

pith:WIY7YO6H

pith:2026:WIY7YO6H4JJYHQCZFCCTCUDB7Y

not attested not anchored not stored refs pending

Partitions with parity restrictions: a bijective approach

Bruce E. Sagan (Michigan State University), William Keith (Michigan Technological Universit)

arxiv:2607.03293 v1 · 2026-07-03 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIY7YO6H4JJYHQCZFCCTCUDB7Y}

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	2026-07-07T02:17:35.950483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b231fc3bc7e25383c0592885315061fe3602a08fa6343e524a1121aaf34a604f

Aliases

arxiv: 2607.03293 · arxiv_version: 2607.03293v1 · doi: 10.48550/arxiv.2607.03293 · pith_short_12: WIY7YO6H4JJY · pith_short_16: WIY7YO6H4JJYHQCZ · pith_short_8: WIY7YO6H

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/WIY7YO6H4JJYHQCZFCCTCUDB7Y \
  | 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: b231fc3bc7e25383c0592885315061fe3602a08fa6343e524a1121aaf34a604f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcdb821590a417f9157b00f92e65779fb8cdc00edb7c6bcee809645905dc7e5f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-03T13:03:19Z",
    "title_canon_sha256": "0f0a979f204601b5693208ac5edf305dd727c6baaee252248b27b1f5ab103f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03293",
    "kind": "arxiv",
    "version": 1
  }
}