Pith Number

pith:SKYQ4HTT

pith:2023:SKYQ4HTTMPZ6RSDDX7VS7SZ3BC

not attested not anchored not stored refs pending

A tight linear chromatic bound for ($P_3\cup P_2, W_4$)-free graphs

Di Wu, Jinfeng Li, Rui Li

arxiv:2308.08768 v1 · 2023-08-17 · 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{SKYQ4HTTMPZ6RSDDX7VS7SZ3BC}

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

Coloring of some $(P_2\cup P_4)$-free graphs

Receipt and verification

First computed	2026-07-05T06:42:11.009099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b10e1e7363f3e8c863bfeb2fcb3b08a269578542148028ebbb4f741c613fe2

Aliases

arxiv: 2308.08768 · arxiv_version: 2308.08768v1 · doi: 10.48550/arxiv.2308.08768 · pith_short_12: SKYQ4HTTMPZ6 · pith_short_16: SKYQ4HTTMPZ6RSDD · pith_short_8: SKYQ4HTT

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/SKYQ4HTTMPZ6RSDDX7VS7SZ3BC \
  | 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: 92b10e1e7363f3e8c863bfeb2fcb3b08a269578542148028ebbb4f741c613fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9c7b42ebe5b5592dd348cbf202b2aba74a7916c45a8f2eaeb1944a60e1e17f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-17T03:51:53Z",
    "title_canon_sha256": "adb1c9bbef6b29679419af053f91d40cfdb09d73fd6dbec24c130185e34d4337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08768",
    "kind": "arxiv",
    "version": 1
  }
}