Pith Number

pith:ZZNLATN6

pith:2026:ZZNLATN6N3ODBVJGWCH2F5DRBZ

not attested not anchored not stored refs pending

Regular anti-phase templates in the stable marriage problem: a generator criterion, its converse, and a counting bound

Yoshiteru Ishida

arxiv:2607.10306 v1 · 2026-07-11 · 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{ZZNLATN6N3ODBVJGWCH2F5DRBZ}

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	2026-07-14T01:21:08.647771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5ab04dbe6edc30d526b08fa2f4710e6917d0c173a68662ea517b15c6b63479

Aliases

arxiv: 2607.10306 · arxiv_version: 2607.10306v1 · doi: 10.48550/arxiv.2607.10306 · pith_short_12: ZZNLATN6N3OD · pith_short_16: ZZNLATN6N3ODBVJG · pith_short_8: ZZNLATN6

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/ZZNLATN6N3ODBVJGWCH2F5DRBZ \
  | 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: ce5ab04dbe6edc30d526b08fa2f4710e6917d0c173a68662ea517b15c6b63479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da82603efd8e8e95478686a2322c80a24856826b647d0fafc811fc7d7c17d33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-11T13:23:12Z",
    "title_canon_sha256": "0c1d5604329c722c7c14136cb8d873abbdd63c5ad1b99b8a67b458d97de7c4bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10306",
    "kind": "arxiv",
    "version": 1
  }
}