Pith Number

pith:WQ4XVQ6Z

pith:2016:WQ4XVQ6ZEWJYICKADQ3HR76UFY

not attested not anchored not stored refs pending

New bounds for locally irregular chromatic index of bipartite and subcubic graphs

Borut Lu\v{z}ar, Jakub Przyby{\l}o, Roman Sot\'ak

arxiv:1611.02341 v2 · 2016-11-07 · 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{WQ4XVQ6ZEWJYICKADQ3HR76UFY}

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	2026-05-18T00:12:11.506134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4397ac3d925938409401c3678ffd42e285f1d0098c72524b87960badaeb1a4f

Aliases

arxiv: 1611.02341 · arxiv_version: 1611.02341v2 · doi: 10.48550/arxiv.1611.02341 · pith_short_12: WQ4XVQ6ZEWJY · pith_short_16: WQ4XVQ6ZEWJYICKA · pith_short_8: WQ4XVQ6Z

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/WQ4XVQ6ZEWJYICKADQ3HR76UFY \
  | 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: b4397ac3d925938409401c3678ffd42e285f1d0098c72524b87960badaeb1a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0461600d600e488b94d3c1b3e923e48a3def92dd18b21957b64378fa612190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-07T23:34:05Z",
    "title_canon_sha256": "41e5277e3fd533ae6df578d7959d1c4cdf17878d85c0c0a2ad7e4503e8b00bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02341",
    "kind": "arxiv",
    "version": 2
  }
}