Pith Number

pith:MZYPBYWN

pith:2018:MZYPBYWNQLOPAFHG73G2O4U35I

not attested not anchored not stored refs pending

The Tutte's condition in terms of graph factors

David G.L. Wang, Hongliang Lu

arxiv:1806.09357 v1 · 2018-06-25 · 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{MZYPBYWNQLOPAFHG73G2O4U35I}

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	2026-05-18T00:12:29.584664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6670f0e2cd82dcf014e6fecda7729bea2e6560f3dd1799678ece3edc0d07a731

Aliases

arxiv: 1806.09357 · arxiv_version: 1806.09357v1 · doi: 10.48550/arxiv.1806.09357 · pith_short_12: MZYPBYWNQLOP · pith_short_16: MZYPBYWNQLOPAFHG · pith_short_8: MZYPBYWN

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/MZYPBYWNQLOPAFHG73G2O4U35I \
  | 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: 6670f0e2cd82dcf014e6fecda7729bea2e6560f3dd1799678ece3edc0d07a731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59adeb7e9dbab7034df133edd47e1caffee1872f1acc4f570a48cc70d2ee090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-25T10:08:35Z",
    "title_canon_sha256": "10fca947b0422af32701739f21eb659f5ae5b73737e6b572e9307cc92016aa1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09357",
    "kind": "arxiv",
    "version": 1
  }
}