Pith Number

pith:AKAX23NH

pith:2026:AKAX23NH5USZSWS74TSSMG6PA4

not attested not anchored not stored refs pending

Geometric and Stochastic Analysis of Discontinuities in Sparse Mixture-of-Experts

Huu-Tuan Nguyen, Nhat-Tri Ho, Tan Minh Nguyen, Thien-Hai Nguyen, Tho Quan, Tho Tran Huu, Viet-Hoang Tran

arxiv:2606.19036 v1 · 2026-06-17 · 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{AKAX23NH5USZSWS74TSSMG6PA4}

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	2026-06-19T16:12:07.040061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02817d6da7ed25995a5fe4e5261bcf072cb0bda9067f76a1d16439dc7e08f9ec

Aliases

arxiv: 2606.19036 · arxiv_version: 2606.19036v1 · doi: 10.48550/arxiv.2606.19036 · pith_short_12: AKAX23NH5USZ · pith_short_16: AKAX23NH5USZSWS7 · pith_short_8: AKAX23NH

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/AKAX23NH5USZSWS74TSSMG6PA4 \
  | 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: 02817d6da7ed25995a5fe4e5261bcf072cb0bda9067f76a1d16439dc7e08f9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a66ea9e98ee3e970ebc71492084df80d7fa0f56564e76baae3219d4062abef84",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-17T13:06:00Z",
    "title_canon_sha256": "c3496dca351a3a1b512b1aa6a7467bdf02105330de4284029e34e299d08d2c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19036",
    "kind": "arxiv",
    "version": 1
  }
}