Pith Number

pith:AGC5REWA

pith:2026:AGC5REWAO7UFXAN2BBSD3WTMQQ

not attested not anchored not stored refs pending

TD-Grokking: Learning from Zero-Reward Problems by Training-Time Decomposition

Hao Xu, Hongsheng Xin, Ning Miao, Ningyuan Xi

arxiv:2606.09883 v1 · 2026-06-03 · cs.LG · 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{AGC5REWAO7UFXAN2BBSD3WTMQQ}

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	2026-06-10T00:08:31.177871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0185d892c077e85b81ba08643dda6c840da7413de440788a009d7d3498ed3577

Aliases

arxiv: 2606.09883 · arxiv_version: 2606.09883v1 · doi: 10.48550/arxiv.2606.09883 · pith_short_12: AGC5REWAO7UF · pith_short_16: AGC5REWAO7UFXAN2 · pith_short_8: AGC5REWA

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/AGC5REWAO7UFXAN2BBSD3WTMQQ \
  | 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: 0185d892c077e85b81ba08643dda6c840da7413de440788a009d7d3498ed3577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7c7a098a7e5adedcae6b42eecfd7e8dd1140782415660f0e4cbc3e5b531d53",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T06:40:04Z",
    "title_canon_sha256": "cf6ca79231ee0012b70052d94ce393d35fd04ce25fc214d43a887f0d38ea7bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09883",
    "kind": "arxiv",
    "version": 1
  }
}