Pith Number

pith:O4CELCTJ

pith:2026:O4CELCTJ4DDVRSJ4NXVKEAAIFG

not attested not anchored not stored refs pending

Mode-Weighted Transport Certificates for State-Dependent Reflected Switching Diffusions

Ye Zhang, Yutong Zhu

arxiv:2608.01992 v1 · 2026-08-03 · cs.CE · cs.SY · eess.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4CELCTJ4DDVRSJ4NXVKEAAIFG}

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	2026-08-04T02:10:27.303618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7704458a69e0c758c93c6deaa200082982cb8906d778dea4f95f7c6896bb8b05

Aliases

arxiv: 2608.01992 · arxiv_version: 2608.01992v1 · doi: 10.48550/arxiv.2608.01992 · pith_short_12: O4CELCTJ4DDV · pith_short_16: O4CELCTJ4DDVRSJ4 · pith_short_8: O4CELCTJ

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/O4CELCTJ4DDVRSJ4NXVKEAAIFG \
  | 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: 7704458a69e0c758c93c6deaa200082982cb8906d778dea4f95f7c6896bb8b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89e096130fa1e3ebf971560b241a894f0aa8d1aefc44ae89ddd36e492634536",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-08-03T09:52:18Z",
    "title_canon_sha256": "62e18099186af7b85cf42c2fab49693e67d14c2a8527f8f60ea10ae8661c257f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01992",
    "kind": "arxiv",
    "version": 1
  }
}