Pith Number

pith:INFH7XL5

pith:2025:INFH7XL5WGKGLEI3UE3VYJABKE

not attested not anchored not stored refs pending

Coloring Graphs With No Totally Odd Clique Immersion

Caleb McFarland

arxiv:2508.08119 v3 · 2025-08-11 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INFH7XL5WGKGLEI3UE3VYJABKE}

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 graphs with independence number two and no odd clique immersions

Receipt and verification

First computed	2026-07-03T01:17:12.610440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

434a7fdd7db19465911ba1375c2401511854659abd36e641e7bed0d6f368a076

Aliases

arxiv: 2508.08119 · arxiv_version: 2508.08119v3 · doi: 10.48550/arxiv.2508.08119 · pith_short_12: INFH7XL5WGKG · pith_short_16: INFH7XL5WGKGLEI3 · pith_short_8: INFH7XL5

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/INFH7XL5WGKGLEI3UE3VYJABKE \
  | 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: 434a7fdd7db19465911ba1375c2401511854659abd36e641e7bed0d6f368a076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6e4690f874c40c1f89d6b5b9355dafa5b907347f6bdd71b42662386c50ce2f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-11T15:57:58Z",
    "title_canon_sha256": "773603ac28789447e9bd159a1f90209fc7177d77d64f5194d38a8da31d0ad706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08119",
    "kind": "arxiv",
    "version": 3
  }
}