Pith Number

pith:PHLCAMGT

pith:2016:PHLCAMGTJ2QOQZPKWKVWE7N437

not attested not anchored not stored refs pending

A Generalization of the Hamilton-Waterloo Problem on Complete Equipartite Graphs

Adri\'an Pastine, Melissa Keranen

arxiv:1605.01781 v1 · 2016-05-05 · 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{PHLCAMGTJ2QOQZPKWKVWE7N437}

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	2026-05-18T01:15:31.505642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d62030d34ea0e865eab2ab627dbcdfc0da19e9589146fb9b3657bd6454c5ed

Aliases

arxiv: 1605.01781 · arxiv_version: 1605.01781v1 · doi: 10.48550/arxiv.1605.01781 · pith_short_12: PHLCAMGTJ2QO · pith_short_16: PHLCAMGTJ2QOQZPK · pith_short_8: PHLCAMGT

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/PHLCAMGTJ2QOQZPKWKVWE7N437 \
  | 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: 79d62030d34ea0e865eab2ab627dbcdfc0da19e9589146fb9b3657bd6454c5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0381753e768e2980e7651dcd06ac3877bf6c88060af1439399fe703d77cf8a3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-05T22:29:13Z",
    "title_canon_sha256": "e1c068b12c49c776effe6c82626d58510c4ce4251c0a9d0b1ddf0e3eb852b6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01781",
    "kind": "arxiv",
    "version": 1
  }
}