Pith Number

pith:FLE2Q64L

pith:2015:FLE2Q64LISCASBZUZHNYYPNZTZ

not attested not anchored not stored refs pending

Maximal $k$-Edge-Colorable Subgraphs, Vizing's Theorem, and Tuza's Conjecture

Gregory J. Puleo

arxiv:1510.07017 v4 · 2015-10-23 · 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{FLE2Q64LISCASBZUZHNYYPNZTZ}

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	2026-05-18T00:44:37.264084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac9a87b8b4484090734c9db8c3db99e4a2972a80103471b740f505a4734248b

Aliases

arxiv: 1510.07017 · arxiv_version: 1510.07017v4 · doi: 10.48550/arxiv.1510.07017 · pith_short_12: FLE2Q64LISCA · pith_short_16: FLE2Q64LISCASBZU · pith_short_8: FLE2Q64L

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/FLE2Q64LISCASBZUZHNYYPNZTZ \
  | 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: 2ac9a87b8b4484090734c9db8c3db99e4a2972a80103471b740f505a4734248b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d117bc56362e7163138ebd5373c16309a0ffae470ab5b8fccf130f38bfd5284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-23T19:08:08Z",
    "title_canon_sha256": "93134465003cd0dbdff9b3515641e5936c830cc21c00973e3d24b10f93b8580b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07017",
    "kind": "arxiv",
    "version": 4
  }
}