Pith Number

pith:PNEI6X2N

pith:2025:PNEI6X2N2PL7EXA3W7JXU5IIAG

not attested not anchored not stored refs pending

Mistake-bounded online learning with operation caps

Jesse Geneson, Linus Tang, Meien Li

arxiv:2509.03892 v1 · 2025-09-04 · cs.LG · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNEI6X2N2PL7EXA3W7JXU5IIAG}

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.

Cited by

1 paper in Pith

Sample Complexity of Autoregressive Reasoning: Chain-of-Thought vs. End-to-End

Receipt and verification

First computed	2026-07-05T12:04:49.251807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b488f5f4dd3d7f25c1bb7d37a750801810b38fcbc87ee42a474e7b84c05f128

Aliases

arxiv: 2509.03892 · arxiv_version: 2509.03892v1 · doi: 10.48550/arxiv.2509.03892 · pith_short_12: PNEI6X2N2PL7 · pith_short_16: PNEI6X2N2PL7EXA3 · pith_short_8: PNEI6X2N

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/PNEI6X2N2PL7EXA3W7JXU5IIAG \
  | 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: 7b488f5f4dd3d7f25c1bb7d37a750801810b38fcbc87ee42a474e7b84c05f128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f138ff989fe9324d620c58245fa651b1f51f660bd0bacc5855810edc139963",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-04T05:26:43Z",
    "title_canon_sha256": "36269ba24980ff20eb15eb2d33d6880c1800ab106e12e3ff3b32077056e31e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03892",
    "kind": "arxiv",
    "version": 1
  }
}