Pith Number

pith:MNVUSTRY

pith:2014:MNVUSTRY3BOCEHLZJIUTXT5G7P

not attested not anchored not stored refs pending

A list analog of Vizing's Theorem for simple graphs with triangles but no other odd cycles

Jessica McDonald

arxiv:1407.0626 v2 · 2014-07-02 · 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{MNVUSTRY3BOCEHLZJIUTXT5G7P}

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	2026-05-18T01:35:38.381643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636b494e38d85c221d794a293bcfa6fbf66b0889b36a4a9815ab07e2a719f980

Aliases

arxiv: 1407.0626 · arxiv_version: 1407.0626v2 · doi: 10.48550/arxiv.1407.0626 · pith_short_12: MNVUSTRY3BOC · pith_short_16: MNVUSTRY3BOCEHLZ · pith_short_8: MNVUSTRY

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/MNVUSTRY3BOCEHLZJIUTXT5G7P \
  | 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: 636b494e38d85c221d794a293bcfa6fbf66b0889b36a4a9815ab07e2a719f980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20f3431b90033ff5c1e5e8d31905ed23e47443fb3d290e5133d0c029a0060aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-02T16:03:26Z",
    "title_canon_sha256": "1f228e8e10f02ab4bc0283623529a83db202194cde1e5b13175219ac8cc12dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0626",
    "kind": "arxiv",
    "version": 2
  }
}