Pith Number

pith:YZQQIKQD

pith:2022:YZQQIKQDJATPV2J2UU3322LU7I

not attested not anchored not stored refs pending

Multiple DP-coloring of planar graphs without 3-cycles and normally adjacent 4-cycles

Huan Zhou, Xuding Zhu

arxiv:2201.12028 v1 · 2022-01-28 · 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{YZQQIKQDJATPV2J2UU3322LU7I}

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	2026-07-05T03:52:19.564332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c661042a034826fae93aa537bd6974fa1bbfa2202fbe26d038b2acfd259c93db

Aliases

arxiv: 2201.12028 · arxiv_version: 2201.12028v1 · doi: 10.48550/arxiv.2201.12028 · pith_short_12: YZQQIKQDJATP · pith_short_16: YZQQIKQDJATPV2J2 · pith_short_8: YZQQIKQD

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/YZQQIKQDJATPV2J2UU3322LU7I \
  | 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: c661042a034826fae93aa537bd6974fa1bbfa2202fbe26d038b2acfd259c93db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd8264aa8ffee6d9a2d9b7cfecfb7c06a57bcd5ec86bb41c12f993d5331742c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-28T10:29:48Z",
    "title_canon_sha256": "a182f4405ff30c537969b753e4bac28a7777dce40a1faa81bebd9defabe9c64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12028",
    "kind": "arxiv",
    "version": 1
  }
}