Pith Number

pith:NGJ6VES7

pith:2025:NGJ6VES7EF4PMYWTYKAXOGQKEG

not attested not anchored not stored refs pending

Exploiting Constraint Reasoning to Build Graphical Explanations for Mixed-Integer Linear Programming

Athina Georgara, Filippo Bistaffa, Juan Antonio Rodriguez-Aguilar, Roger Xavier Lera-Leri

arxiv:2507.13007 v1 · 2025-07-17 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGJ6VES7EF4PMYWTYKAXOGQKEG}

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	2026-07-05T11:38:43.277653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6993ea925f2178f662d3c281771a0a21ad44ef1b0342d25f794fb94fd1aace0b

Aliases

arxiv: 2507.13007 · arxiv_version: 2507.13007v1 · doi: 10.48550/arxiv.2507.13007 · pith_short_12: NGJ6VES7EF4P · pith_short_16: NGJ6VES7EF4PMYWT · pith_short_8: NGJ6VES7

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/NGJ6VES7EF4PMYWTYKAXOGQKEG \
  | 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: 6993ea925f2178f662d3c281771a0a21ad44ef1b0342d25f794fb94fd1aace0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4260353145c161cf45d3feb69f9d15425c5f67079bcef40dc6900fcae59972",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-07-17T11:25:33Z",
    "title_canon_sha256": "50805c5e72300c65140c900514d20fe6a5b7261ce0681f84158a517f9b279d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13007",
    "kind": "arxiv",
    "version": 1
  }
}