Pith Number

pith:EIT73TL4

pith:2025:EIT73TL4J5ZW2PFXOMIG77YWGZ

not attested not anchored not stored refs pending

Triangle-free $d$-degenerate graphs have small fractional chromatic number

Anders Martinsson

arxiv:2501.18238 v1 · 2025-01-30 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIT73TL4J5ZW2PFXOMIG77YWGZ}

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	2026-07-05T10:07:31.513902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2227fdcd7c4f736d3cb773106fff16364a4e59e0bd2bc6f7d0e491106181a774

Aliases

arxiv: 2501.18238 · arxiv_version: 2501.18238v1 · doi: 10.48550/arxiv.2501.18238 · pith_short_12: EIT73TL4J5ZW · pith_short_16: EIT73TL4J5ZW2PFX · pith_short_8: EIT73TL4

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/EIT73TL4J5ZW2PFXOMIG77YWGZ \
  | 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: 2227fdcd7c4f736d3cb773106fff16364a4e59e0bd2bc6f7d0e491106181a774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8bf4d3b925e2bbdd1dd98e1497e69a1e8e18364a4bab9d59c328f4145db80d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-30T09:54:39Z",
    "title_canon_sha256": "5f87037da93a212e8327671b286507d941ac940ce88f42bbb04188e9307c9b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18238",
    "kind": "arxiv",
    "version": 1
  }
}