Pith Number

pith:2JUVVTDF

pith:2026:2JUVVTDFC7HPR7RQECUSCB7J6K

not attested not anchored not stored refs pending

Coloring digraphs with $\Delta-b$ colors

Ken-ichi Kawarabayashi, Lucas Picasarri-Arrieta

arxiv:2607.06928 v1 · 2026-07-08 · 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{2JUVVTDFC7HPR7RQECUSCB7J6K}

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	2026-07-09T00:19:40.272084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2695acc6517cef8fe3020a92107e9f2adf521c37c0a939aed93897c270b1871

Aliases

arxiv: 2607.06928 · arxiv_version: 2607.06928v1 · doi: 10.48550/arxiv.2607.06928 · pith_short_12: 2JUVVTDFC7HP · pith_short_16: 2JUVVTDFC7HPR7RQ · pith_short_8: 2JUVVTDF

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/2JUVVTDFC7HPR7RQECUSCB7J6K \
  | 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: d2695acc6517cef8fe3020a92107e9f2adf521c37c0a939aed93897c270b1871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd60be8d84552f3591f7451862f191c12e5a71a4a2c1f2283525da58e06d49e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T02:46:55Z",
    "title_canon_sha256": "526418edf5a0f210b69329eada254d513525c96123c22a362809a1440cf701ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06928",
    "kind": "arxiv",
    "version": 1
  }
}