Pith Number

pith:RFWF6DQA

pith:2017:RFWF6DQAFGRCHWYNZD27U4DPZX

not attested not anchored not stored refs pending

Vizing's 2-factor Conjecture Involving Toughness and Maximum Degree Conditions

Jinko Kanno, Songling Shan

arxiv:1709.02241 v1 · 2017-09-05 · 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{RFWF6DQAFGRCHWYNZD27U4DPZX}

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	2026-05-18T00:35:49.751789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896c5f0e0029a223db0dc8f5fa706fcde949fe1e6a837b6827e57564865627d2

Aliases

arxiv: 1709.02241 · arxiv_version: 1709.02241v1 · doi: 10.48550/arxiv.1709.02241 · pith_short_12: RFWF6DQAFGRC · pith_short_16: RFWF6DQAFGRCHWYN · pith_short_8: RFWF6DQA

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/RFWF6DQAFGRCHWYNZD27U4DPZX \
  | 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: 896c5f0e0029a223db0dc8f5fa706fcde949fe1e6a837b6827e57564865627d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f959decd754044d4e380b5e4e826d5465e3235895b65f323990d704ff705a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-05T19:21:00Z",
    "title_canon_sha256": "b20972a346b200d00003ea09f77c8bdabb15afc99bca5601215feab58810b7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02241",
    "kind": "arxiv",
    "version": 1
  }
}