Pith Number

pith:5Q46D4WT

pith:2026:5Q46D4WTZNQOLUWFEVL7QZPSQO

not attested not anchored not stored refs pending

From Expert Reduction to Behavioral Divergence: Tracing Numerical State through Sparse MoE Inference

Tianyang Zhu

arxiv:2607.28097 v1 · 2026-07-30 · 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{5Q46D4WTZNQOLUWFEVL7QZPSQO}

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	2026-07-31T01:35:44.802061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ec39e1f2d3cb60e5d2c52557f865f283a9d4c683110cbff4e1892e2b8fb15997

Aliases

arxiv: 2607.28097 · arxiv_version: 2607.28097v1 · doi: 10.48550/arxiv.2607.28097 · pith_short_12: 5Q46D4WTZNQO · pith_short_16: 5Q46D4WTZNQOLUWF · pith_short_8: 5Q46D4WT

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/5Q46D4WTZNQOLUWFEVL7QZPSQO \
  | 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: ec39e1f2d3cb60e5d2c52557f865f283a9d4c683110cbff4e1892e2b8fb15997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5583bfcb686fd2eb48d569ea455a3e0ceadc3bf76520bd1dd592fc8023eb5f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-30T12:07:56Z",
    "title_canon_sha256": "f54f4e0a2884cbb19388810ddf088de46cf671653ba0df43e8b34473e1f79fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28097",
    "kind": "arxiv",
    "version": 1
  }
}