Pith Number

pith:HKAXAL6L

pith:2015:HKAXAL6L6E74ITK5XNEB4CIVV6

not attested not anchored not stored refs pending

On the Hamilton-Waterloo Problem with odd orders

A. Burgess, P. Danziger, T. Traetta

arxiv:1510.07079 v2 · 2015-10-23 · 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{HKAXAL6L6E74ITK5XNEB4CIVV6}

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	2026-05-18T01:26:17.654139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a81702fcbf13fc44d5dbb481e0915af80ef789d467a0dc4adb51bfd5c092151

Aliases

arxiv: 1510.07079 · arxiv_version: 1510.07079v2 · doi: 10.48550/arxiv.1510.07079 · pith_short_12: HKAXAL6L6E74 · pith_short_16: HKAXAL6L6E74ITK5 · pith_short_8: HKAXAL6L

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/HKAXAL6L6E74ITK5XNEB4CIVV6 \
  | 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: 3a81702fcbf13fc44d5dbb481e0915af80ef789d467a0dc4adb51bfd5c092151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f946cd10abfeebcd38214cf5512469f202fd135cbfeedef9ec7ca3f6fed2b883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-23T22:27:41Z",
    "title_canon_sha256": "b9afd77e656a2dc8f45f82bae7d6e06b18f0b2f1777ac2d38b265e18e24b7c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07079",
    "kind": "arxiv",
    "version": 2
  }
}