Pith Number

pith:MBS22MKY

pith:2015:MBS22MKY6LTPPFS4R33MUNN34O

not attested not anchored not stored refs pending

Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles

Francesca Merola, Tommaso Traetta

arxiv:1501.06999 v2 · 2015-01-28 · 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{MBS22MKY6LTPPFS4R33MUNN34O}

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	2026-05-18T01:18:00.140974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6065ad3158f2e6f7965c8ef6ca35bbe3b4e4d9f144e4e232861c49d69b08c3b9

Aliases

arxiv: 1501.06999 · arxiv_version: 1501.06999v2 · doi: 10.48550/arxiv.1501.06999 · pith_short_12: MBS22MKY6LTP · pith_short_16: MBS22MKY6LTPPFS4 · pith_short_8: MBS22MKY

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/MBS22MKY6LTPPFS4R33MUNN34O \
  | 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: 6065ad3158f2e6f7965c8ef6ca35bbe3b4e4d9f144e4e232861c49d69b08c3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cd4cddd767fedb9a93c33aac1bdb55a77fed8eda03dff9692263397344b593f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-28T06:25:45Z",
    "title_canon_sha256": "ea545a4008fd5ee4366011b5f24cf0d87ddcef5acb1a67e88846e645816ed565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06999",
    "kind": "arxiv",
    "version": 2
  }
}