Pith Number

pith:AYRJO6WT

pith:2026:AYRJO6WT2GA2TVN3L7ZCLKCZ6R

not attested not anchored not stored refs pending

Information Allocation Dynamics in Neural Network Optimization

Liu Donghan, Liu Honghai, Ren Weihong, Sheng Yixuan, Wang Zhiyong, Zhang Gongyue

arxiv:2607.07156 v1 · 2026-07-08 · 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{AYRJO6WT2GA2TVN3L7ZCLKCZ6R}

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

Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon

Receipt and verification

First computed	2026-07-09T01:20:15.899911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0622977ad3d181a9d5bb5ff225a859f470fdeb280e77b811069daa2b16b8b2b7

Aliases

arxiv: 2607.07156 · arxiv_version: 2607.07156v1 · doi: 10.48550/arxiv.2607.07156 · pith_short_12: AYRJO6WT2GA2 · pith_short_16: AYRJO6WT2GA2TVN3 · pith_short_8: AYRJO6WT

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/AYRJO6WT2GA2TVN3L7ZCLKCZ6R \
  | 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: 0622977ad3d181a9d5bb5ff225a859f470fdeb280e77b811069daa2b16b8b2b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5b3e50ba9876f8a02a5b99421df890617a77c05e3e2935c4cbef3b605d7c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T08:49:23Z",
    "title_canon_sha256": "36592464a918273f1096871608a48e0440b483f708c943b367382ba1dd6430c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07156",
    "kind": "arxiv",
    "version": 1
  }
}