Pith Number

pith:7SUPK6UQ

pith:2024:7SUPK6UQEDGGDRBX6VHA3EH76G

not attested not anchored not stored refs pending

Linear Equations with Min and Max Operators: Computational Complexity

Jakub Svoboda, Krishnendu Chatterjee, Raimundo Saona, Ruichen Luo

arxiv:2412.12228 v1 · 2024-12-16 · cs.CC · cs.AI · 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{7SUPK6UQEDGGDRBX6VHA3EH76G}

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	2026-07-05T09:50:37.654556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca8f57a9020cc61c437f54e0d90fff1bdb95cbc13b6bc35dec2868eaf09d624

Aliases

arxiv: 2412.12228 · arxiv_version: 2412.12228v1 · doi: 10.48550/arxiv.2412.12228 · pith_short_12: 7SUPK6UQEDGG · pith_short_16: 7SUPK6UQEDGGDRBX · pith_short_8: 7SUPK6UQ

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/7SUPK6UQEDGGDRBX6VHA3EH76G \
  | 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: fca8f57a9020cc61c437f54e0d90fff1bdb95cbc13b6bc35dec2868eaf09d624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f96a3ca67cb2c9efe0db9872ac3584f554e7671f1185ea3a8aa11788f1f6df0",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-12-16T12:18:36Z",
    "title_canon_sha256": "8dd1c55d1af02bcf1645a8a56becd6731d9bf9db0c8cd84d8c41d277e2f32591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12228",
    "kind": "arxiv",
    "version": 1
  }
}