Pith Number

pith:MCHT4SVX

pith:2016:MCHT4SVX3PLJELFRNBNCOIAVKO

not attested not anchored not stored refs pending

The Hamilton-Waterloo problem with C8-factors and Cm-factors

H. Cao, L. Wang

arxiv:1609.09321 v1 · 2016-09-29 · 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{MCHT4SVX3PLJELFRNBNCOIAVKO}

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	2026-05-18T00:33:32.433219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608f3e4ab7dbd6922cb1685a27201553827b1c4333212efa1050820848848215

Aliases

arxiv: 1609.09321 · arxiv_version: 1609.09321v1 · doi: 10.48550/arxiv.1609.09321 · pith_short_12: MCHT4SVX3PLJ · pith_short_16: MCHT4SVX3PLJELFR · pith_short_8: MCHT4SVX

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/MCHT4SVX3PLJELFRNBNCOIAVKO \
  | 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: 608f3e4ab7dbd6922cb1685a27201553827b1c4333212efa1050820848848215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f791f9afabd45e1b64a126719c01ec2e2ddd4888e37fbfdbb2ed14adfcd443a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-29T13:13:33Z",
    "title_canon_sha256": "8dc59514b59727804c8cd69e4c8d92aaf0b6a63252118f7df45d62e808e6fcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09321",
    "kind": "arxiv",
    "version": 1
  }
}