Pith Number

pith:QY6D46LU

pith:2012:QY6D46LUXEPDT62KTMAFNF2RPI

not attested not anchored not stored refs pending

Decompositions of complete graphs into cycles of arbitrary lengths

Daniel Horsley, Darryn Bryant, William Pettersson

arxiv:1204.3709 v4 · 2012-04-17 · 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{QY6D46LUXEPDT62KTMAFNF2RPI}

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	2026-05-18T00:15:59.819865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863c3e7974b91e39fb4a9b005697517a0c895f6387cf29f6cd073e70a95252e2

Aliases

arxiv: 1204.3709 · arxiv_version: 1204.3709v4 · doi: 10.48550/arxiv.1204.3709 · pith_short_12: QY6D46LUXEPD · pith_short_16: QY6D46LUXEPDT62K · pith_short_8: QY6D46LU

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/QY6D46LUXEPDT62KTMAFNF2RPI \
  | 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: 863c3e7974b91e39fb4a9b005697517a0c895f6387cf29f6cd073e70a95252e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e375f2bce3701f06debc7c0a3e036acd8d733fcd8dd6c79a7df569dabcd8593c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-17T06:29:37Z",
    "title_canon_sha256": "d06c79d9d11bbf49a62cab3f3412a8c48759ac86f88afd9e77b12e8d7598be2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3709",
    "kind": "arxiv",
    "version": 4
  }
}