Pith Number

pith:YQMV6HY7

pith:2025:YQMV6HY74TS57FRA4S2PSPMIQT

not attested not anchored not stored refs pending

Hall's Harem Theorem with controlled sizes of cycles

Karol Duda

arxiv:2511.20724 v2 · 2025-11-25 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQMV6HY74TS57FRA4S2PSPMIQT}

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	2026-05-20T00:05:38.006288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4195f1f1fe4e5df9620e4b4f93d8884f1afade871eca4d9966a086248783d6a

Aliases

arxiv: 2511.20724 · arxiv_version: 2511.20724v2 · doi: 10.48550/arxiv.2511.20724 · pith_short_12: YQMV6HY74TS5 · pith_short_16: YQMV6HY74TS57FRA · pith_short_8: YQMV6HY7

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/YQMV6HY74TS57FRA4S2PSPMIQT \
  | 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: c4195f1f1fe4e5df9620e4b4f93d8884f1afade871eca4d9966a086248783d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5c81dddcec6e56d2981ba5c94679c57266094b41bc8e1bfe22d3973e1dc320",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-11-25T09:09:23Z",
    "title_canon_sha256": "595e2be82be36e5c791fe65625b89ec87385103713665d805c4850ac0675763f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20724",
    "kind": "arxiv",
    "version": 2
  }
}