Pith Number

pith:VI72RMZ4

pith:2012:VI72RMZ4KAJCORCRH2MJJLDDXJ

not attested not anchored not stored refs pending

Decomposing various graphs into short even-length cycles

Daniel Horsley

arxiv:1204.3368 v1 · 2012-04-16 · 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{VI72RMZ4KAJCORCRH2MJJLDDXJ}

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	2026-05-18T03:57:51.696177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3fa8b33c50122744513e9894ac63ba57101f553eba538f0f02fa8af3d090f7

Aliases

arxiv: 1204.3368 · arxiv_version: 1204.3368v1 · doi: 10.48550/arxiv.1204.3368 · pith_short_12: VI72RMZ4KAJC · pith_short_16: VI72RMZ4KAJCORCR · pith_short_8: VI72RMZ4

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/VI72RMZ4KAJCORCRH2MJJLDDXJ \
  | 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: aa3fa8b33c50122744513e9894ac63ba57101f553eba538f0f02fa8af3d090f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a46fc1e77fca369f7c82d79419de310e5a2a8e521fe76ce2de691506e5e05b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-16T06:05:09Z",
    "title_canon_sha256": "c2d2427ca120195099d1c17c279c46d22994192c930828d1a9d5950115e8cffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3368",
    "kind": "arxiv",
    "version": 1
  }
}