Pith Number

pith:2FG3PLHD

pith:2026:2FG3PLHDXU6ICHUP4WUO77IE3Y

not attested not anchored not stored refs pending

On Explicit Super-Expressive Approximation for Neural Networks

Chen-Yu Wang, Feng-lei Fan, Jian-Jun Wang, Ze-Yu Li

arxiv:2607.06781 v1 · 2026-07-07 · 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{2FG3PLHDXU6ICHUP4WUO77IE3Y}

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	2026-07-09T00:19:26.772307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14db7ace3bd3c811e8fe5a8effd04de136bfbf292e96c37ca3634c158dc32b7

Aliases

arxiv: 2607.06781 · arxiv_version: 2607.06781v1 · doi: 10.48550/arxiv.2607.06781 · pith_short_12: 2FG3PLHDXU6I · pith_short_16: 2FG3PLHDXU6ICHUP · pith_short_8: 2FG3PLHD

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/2FG3PLHDXU6ICHUP4WUO77IE3Y \
  | 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: d14db7ace3bd3c811e8fe5a8effd04de136bfbf292e96c37ca3634c158dc32b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc4aab0e2911c7ab5808a22c7a58170f0cbcb8f7040ba846a56e60314658919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-07T20:21:57Z",
    "title_canon_sha256": "7836608ff1bb97cb1803ed06ffd8c9af70f1a49adb99a86da1047af67d0eb9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06781",
    "kind": "arxiv",
    "version": 1
  }
}