Pith Number

pith:YYULJYH5

pith:2018:YYULJYH5BKGUAZALUXIITHDCXJ

not attested not anchored not stored refs pending

Linear bounds on nowhere-zero group irregularity strength and nowhere-zero group sum chromatic number of graphs

Jakub Przyby{\l}o, Marcin Anholcer, Sylwia Cichacz

arxiv:1805.05204 v1 · 2018-05-14 · 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{YYULJYH5BKGUAZALUXIITHDCXJ}

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	2026-05-18T00:03:29.285269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c628b4e0fd0a8d40640ba5d0899c62ba640d20d43631de8736dad1faa4d0c209

Aliases

arxiv: 1805.05204 · arxiv_version: 1805.05204v1 · doi: 10.48550/arxiv.1805.05204 · pith_short_12: YYULJYH5BKGU · pith_short_16: YYULJYH5BKGUAZAL · pith_short_8: YYULJYH5

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/YYULJYH5BKGUAZALUXIITHDCXJ \
  | 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: c628b4e0fd0a8d40640ba5d0899c62ba640d20d43631de8736dad1faa4d0c209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da70ea511a302da2b2252510d3c0dcc94644aaf7d5edc2913b5c519401019b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-14T14:54:00Z",
    "title_canon_sha256": "a47c9f9781c5b2dc123570b8ffea540e8735b13c6e685860272bb33ba9eaa662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05204",
    "kind": "arxiv",
    "version": 1
  }
}