Pith Number

pith:7OGCAJ4U

pith:2024:7OGCAJ4UG4GPQVNXL4S3OPNYA4

not attested not anchored not stored refs pending

An analogue of Reed's conjecture for digraphs

Ken-ichi Kawarabayashi, Lucas Picasarri-Arrieta

arxiv:2407.05827 v3 · 2024-07-08 · 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{7OGCAJ4UG4GPQVNXL4S3OPNYA4}

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 digraphs with $\Delta-b$ colors

Receipt and verification

First computed	2026-07-05T11:59:52.718119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8c202794370cf855b75f25b73db80738d1fde83139a12631380ccfa1c799ed

Aliases

arxiv: 2407.05827 · arxiv_version: 2407.05827v3 · doi: 10.48550/arxiv.2407.05827 · pith_short_12: 7OGCAJ4UG4GP · pith_short_16: 7OGCAJ4UG4GPQVNX · pith_short_8: 7OGCAJ4U

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/7OGCAJ4UG4GPQVNXL4S3OPNYA4 \
  | 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: fb8c202794370cf855b75f25b73db80738d1fde83139a12631380ccfa1c799ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86cd652b121a83337cc092c72e451aecc46dcee765c4fd344310966df5ba8b8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-08T11:14:41Z",
    "title_canon_sha256": "c788dffa6ab0dce886af443cca6c7eccd4f5eea57945f6aa1678f27e14d0d2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05827",
    "kind": "arxiv",
    "version": 3
  }
}