Pith Number

pith:52LAHSOX

pith:2026:52LAHSOXC3GOSEPYFA6CVI42DH

not attested not anchored not stored refs pending

Gray-Box Optimization and the Vertex Coloring Problem

Antonia Heinen, Hendrik Higl, Johanna Gasse, Timo K\"otzing

arxiv:2606.08128 v1 · 2026-06-06 · cs.NE · 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{52LAHSOXC3GOSEPYFA6CVI42DH}

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	2026-06-09T01:05:27.475983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9603c9d716cce911f8283c2aa39a19ea7e1859931572a48a041150dd10ef25

Aliases

arxiv: 2606.08128 · arxiv_version: 2606.08128v1 · doi: 10.48550/arxiv.2606.08128 · pith_short_12: 52LAHSOXC3GO · pith_short_16: 52LAHSOXC3GOSEPY · pith_short_8: 52LAHSOX

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/52LAHSOXC3GOSEPYFA6CVI42DH \
  | 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: ee9603c9d716cce911f8283c2aa39a19ea7e1859931572a48a041150dd10ef25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1888b58a87cb2250d0acbc7b1fa645688b3fe6f386facff4ca5c7acd0181a671",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-06-06T12:12:38Z",
    "title_canon_sha256": "dbab3267c0ef31f07033f976ff0abdbd45ca0cae76a740b2d1b25311fb6f666d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08128",
    "kind": "arxiv",
    "version": 1
  }
}