Pith Number

pith:GWWRUKSJ

pith:2026:GWWRUKSJHY76CD2BFGU5R6PYZI

not attested not anchored not stored refs pending

Flexible DP-4-coloring of planar graphs without 4-cycles and intersecting triangles

Gexin Yu, Runrun Liu, Shu Fang

arxiv:2605.23647 v1 · 2026-05-22 · 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{GWWRUKSJHY76CD2BFGU5R6PYZI}

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	2026-05-25T02:02:23.834972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ad1a2a493e3fe10f4129a9d8f9f8ca28c792af75c3f99dc0fcb6dc51d7973c

Aliases

arxiv: 2605.23647 · arxiv_version: 2605.23647v1 · doi: 10.48550/arxiv.2605.23647 · pith_short_12: GWWRUKSJHY76 · pith_short_16: GWWRUKSJHY76CD2B · pith_short_8: GWWRUKSJ

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/GWWRUKSJHY76CD2BFGU5R6PYZI \
  | 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: 35ad1a2a493e3fe10f4129a9d8f9f8ca28c792af75c3f99dc0fcb6dc51d7973c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7004626349cc4399ad1905a1ed1b3b436ac7d8ac3e325ad958142bbf87a26dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T14:00:28Z",
    "title_canon_sha256": "c04d6f7eed8feb86368cfdbadde4e424d0f2def1c96ade05c023796c1fe193bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23647",
    "kind": "arxiv",
    "version": 1
  }
}