Pith Number

pith:2HIHHZ3D

pith:2025:2HIHHZ3DP6DDEMDDZTF3ZI2GRE

not attested not anchored not stored refs pending

PLS-complete problems with lexicographic cost functions: Max-$k$-SAT and Abelian Permutation Orbit Minimization

Dominik Scheder, Johannes Tantow

arxiv:2510.15712 v3 · 2025-10-17 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HIHHZ3DP6DDEMDDZTF3ZI2GRE}

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	2026-05-20T00:05:35.132955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d073e7637f86323063cccbbca346891ae8adc70dcb1361707fb9b48abc514d

Aliases

arxiv: 2510.15712 · arxiv_version: 2510.15712v3 · doi: 10.48550/arxiv.2510.15712 · pith_short_12: 2HIHHZ3DP6DD · pith_short_16: 2HIHHZ3DP6DDEMDD · pith_short_8: 2HIHHZ3D

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/2HIHHZ3DP6DDEMDDZTF3ZI2GRE \
  | 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: d1d073e7637f86323063cccbbca346891ae8adc70dcb1361707fb9b48abc514d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9c33a6f191603f6e5604e990e79d3aead5fe5dee64106218f93a355c7af2b4",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-10-17T14:56:50Z",
    "title_canon_sha256": "642d1de6ec98386ff3b53174b6e3f2f50e8d13b902a0d56585575a765a8baa68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.15712",
    "kind": "arxiv",
    "version": 3
  }
}