Pith Number

pith:YRQYSBDW

pith:2026:YRQYSBDWA6GBBCOKL7AMJZWY7N

not attested not anchored not stored refs pending

Advancing Branch-and-Price for Graph Coloring: New Pricing Strategies and Benchmark Results

Fabio Furini, Mingming Zheng, Qinghua Wu, Roberto Baldacci

arxiv:2606.08356 v1 · 2026-06-06 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRQYSBDWA6GBBCOKL7AMJZWY7N}

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	2026-06-09T01:05:34.567772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c461890476078c1089ca5fc0c4e6d8fb7572cfd5c27af0b660e96010207a5cdf

Aliases

arxiv: 2606.08356 · arxiv_version: 2606.08356v1 · doi: 10.48550/arxiv.2606.08356 · pith_short_12: YRQYSBDWA6GB · pith_short_16: YRQYSBDWA6GBBCOK · pith_short_8: YRQYSBDW

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/YRQYSBDWA6GBBCOKL7AMJZWY7N \
  | 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: c461890476078c1089ca5fc0c4e6d8fb7572cfd5c27af0b660e96010207a5cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38069b54a50bcbab4dfc64c465a96d73b8d747468c2c5a266ac9de00591b3209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-06T22:06:31Z",
    "title_canon_sha256": "2d5a9f06c9270e73d35738ee7d5535bd0941cf02482f6561e9f6c63102f49a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08356",
    "kind": "arxiv",
    "version": 1
  }
}