Pith Number

pith:R7YM356E

pith:2025:R7YM356EAJ76U4O7WRDK7FIMMJ

not attested not anchored not stored refs pending

Hierarchical Rectangle Packing Solved by Multi-Level Recursive Logic-based Benders Decomposition

Christian Artigues, Cyrille Briand, Emmanuel Hebrard, Josef Grus, Zden\v{e}k Hanz\'alek

arxiv:2512.20239 v2 · 2025-12-23 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7YM356EAJ76U4O7WRDK7FIMMJ}

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	2026-06-19T16:11:18.731814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff0cdf7c4027fea71dfb446af950c624ec496201e434ca4e2fbf7a715dc5404

Aliases

arxiv: 2512.20239 · arxiv_version: 2512.20239v2 · doi: 10.48550/arxiv.2512.20239 · pith_short_12: R7YM356EAJ76 · pith_short_16: R7YM356EAJ76U4O7 · pith_short_8: R7YM356E

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/R7YM356EAJ76U4O7WRDK7FIMMJ \
  | 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: 8ff0cdf7c4027fea71dfb446af950c624ec496201e434ca4e2fbf7a715dc5404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d4d4a2ff5f8267737e2d2a9b3a427af28160b32794b4d029e944b6c825f888",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-12-23T10:50:33Z",
    "title_canon_sha256": "fdf91ad2df51fca9c5ff2d61faf6167c172ff704e5730ed074d62b32b0c0ba9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.20239",
    "kind": "arxiv",
    "version": 2
  }
}