Pith Number

pith:MNXMJGSL

pith:2018:MNXMJGSLOYPWBM7SSNGIPOODTZ

not attested not anchored not stored refs pending

DP-3-coloring of planar graphs without $4,9$-cycles and two cycles from $\{5,6,7,8\}$

Gexin Yu, Martin Rolek, Runrun Liu, Sarah Loeb, Yuxue Yin

arxiv:1809.07445 v1 · 2018-09-20 · 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{MNXMJGSLOYPWBM7SSNGIPOODTZ}

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	2026-05-18T00:05:16.296806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636ec49a4b761f60b3f2934c87b9c39e47ded9f1f390062974cf4197ca217551

Aliases

arxiv: 1809.07445 · arxiv_version: 1809.07445v1 · doi: 10.48550/arxiv.1809.07445 · pith_short_12: MNXMJGSLOYPW · pith_short_16: MNXMJGSLOYPWBM7S · pith_short_8: MNXMJGSL

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/MNXMJGSLOYPWBM7SSNGIPOODTZ \
  | 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: 636ec49a4b761f60b3f2934c87b9c39e47ded9f1f390062974cf4197ca217551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2867e5b7ff104e0fbf633789e9fd6d1a3fe69cd260329179ce98943078ca01eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-20T01:49:54Z",
    "title_canon_sha256": "a1741b50ad694e00bcc9c9066bab65acc56416b8717e6cbb4620648c1c9d3588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07445",
    "kind": "arxiv",
    "version": 1
  }
}