Pith Number

pith:PNLI6LAO

pith:2025:PNLI6LAOQHHHWQY3XFOGME6MMV

not attested not anchored not stored refs pending

Computational-Statistical Tradeoffs from NP-hardness

Caleb Koch, Carmen Strassle, Guy Blanc, Li-Yang Tan

arxiv:2507.13222 v1 · 2025-07-17 · cs.CC · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNLI6LAOQHHHWQY3XFOGME6MMV}

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	2026-07-05T11:38:56.627415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b568f2c0e81ce7b431bb95c6613cc656962e9762d9c7434a713dcccd6c9d84a

Aliases

arxiv: 2507.13222 · arxiv_version: 2507.13222v1 · doi: 10.48550/arxiv.2507.13222 · pith_short_12: PNLI6LAOQHHH · pith_short_16: PNLI6LAOQHHHWQY3 · pith_short_8: PNLI6LAO

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/PNLI6LAOQHHHWQY3XFOGME6MMV \
  | 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: 7b568f2c0e81ce7b431bb95c6613cc656962e9762d9c7434a713dcccd6c9d84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5d53cdaca144903daa56cb0269eab23936f00515ae53506260aa1dc6260dfd",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-07-17T15:35:36Z",
    "title_canon_sha256": "fde95b5d466a168f9822cd573424be90894cc1ba227b4c755819c1b0ce607641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13222",
    "kind": "arxiv",
    "version": 1
  }
}