Pith Number

pith:UHO6GSIQ

pith:2024:UHO6GSIQJ7TXUFP66RDW2TVBBB

not attested not anchored not stored refs pending

Strong odd coloring of sparse graphs

Boram Park, Hyemin Kwon

arxiv:2401.11653 v3 · 2024-01-22 · 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{UHO6GSIQJ7TXUFP66RDW2TVBBB}

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.

Cited by

1 paper in Pith

Strong odd colorings in graph classes of bounded expansion

Receipt and verification

First computed	2026-06-19T16:09:45.785821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1dde349104fe77a15fef4476d4ea10864969582d1bc15a4537efaaf4d4590f4

Aliases

arxiv: 2401.11653 · arxiv_version: 2401.11653v3 · doi: 10.48550/arxiv.2401.11653 · pith_short_12: UHO6GSIQJ7TX · pith_short_16: UHO6GSIQJ7TXUFP6 · pith_short_8: UHO6GSIQ

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/UHO6GSIQJ7TXUFP66RDW2TVBBB \
  | 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: a1dde349104fe77a15fef4476d4ea10864969582d1bc15a4537efaaf4d4590f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb5954611159a4ca8314174378ed9d4b3e71b2c4239c7f2153dfc33365aa7a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-22T02:20:56Z",
    "title_canon_sha256": "891b05384c188b16a329463d9a8afb69d11cc0a964c05548b44d3077af83f798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11653",
    "kind": "arxiv",
    "version": 3
  }
}