Pith Number

pith:SSKF425R

pith:2026:SSKF425R52Y44G7MKCBRIIS5VV

not attested not anchored not stored refs pending

On the chromatic number of the union of comparability graphs

James Davies, Linda Cook, Maria Chudnovsky, Sang-il Oum, Seokbeom Kim

arxiv:2606.09415 v1 · 2026-06-08 · 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{SSKF425R52Y44G7MKCBRIIS5VV}

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	2026-06-09T02:08:46.995761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94945e6bb1eeb1ce1bec508314225dad7fec8f6b5628b0631f16fe01e360682d

Aliases

arxiv: 2606.09415 · arxiv_version: 2606.09415v1 · doi: 10.48550/arxiv.2606.09415 · pith_short_12: SSKF425R52Y4 · pith_short_16: SSKF425R52Y44G7M · pith_short_8: SSKF425R

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/SSKF425R52Y44G7MKCBRIIS5VV \
  | 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: 94945e6bb1eeb1ce1bec508314225dad7fec8f6b5628b0631f16fe01e360682d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be84c219763d19432e4a64e110727ec82fc6d155d4a63cd21a2f23c918033d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T12:29:23Z",
    "title_canon_sha256": "6a25b0186fa1110b6c2b4eb4ab430b1814f28dcdc3e911493bb8ecabe2e6bb7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09415",
    "kind": "arxiv",
    "version": 1
  }
}