Pith Number

pith:QWC7KI3L

pith:2012:QWC7KI3LFAORGO6OG2LOD2ADER

not attested not anchored not stored refs pending

Strong edge-colorings for k-degenerate graphs

Gexin Yu

arxiv:1212.6093 v3 · 2012-12-25 · 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{QWC7KI3LFAORGO6OG2LOD2ADER}

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	2026-05-18T03:29:26.821534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8585f5236b281d133bce3696e1e8032455b8874a6598116cb58b7e6ed18cf7a4

Aliases

arxiv: 1212.6093 · arxiv_version: 1212.6093v3 · doi: 10.48550/arxiv.1212.6093 · pith_short_12: QWC7KI3LFAOR · pith_short_16: QWC7KI3LFAORGO6O · pith_short_8: QWC7KI3L

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/QWC7KI3LFAORGO6OG2LOD2ADER \
  | 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: 8585f5236b281d133bce3696e1e8032455b8874a6598116cb58b7e6ed18cf7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389d4d085ec19b09c786084ae7bdcb8115d62901059aba242aeafcba9e8aa4ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-25T22:27:07Z",
    "title_canon_sha256": "5621dcd74a6bdeea28d86c91b22e444c99677ea08fc15d3865d3a0109e50b416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6093",
    "kind": "arxiv",
    "version": 3
  }
}