Pith Number

pith:ZGQT3QA4

pith:2026:ZGQT3QA476U4FNPLMJ3QZLVYYW

not attested not anchored not stored refs pending

PathMark: Protecting Intellectual Property of Mixture-of-Expert LLMs via Path Watermarks

Linghan Chen, Qingyue Wang, Ruixuan Huang, Shuai Wang, Yuanyuan Yuan, Yudong Gao, Zimo Ji

arxiv:2607.03688 v1 · 2026-07-04 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGQT3QA476U4FNPLMJ3QZLVYYW}

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	2026-07-07T02:18:01.701933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a13dc01cffa9c2b5eb62770caeb8c58144dcd170a4253d6d9cd6b9cafc50fc

Aliases

arxiv: 2607.03688 · arxiv_version: 2607.03688v1 · doi: 10.48550/arxiv.2607.03688 · pith_short_12: ZGQT3QA476U4 · pith_short_16: ZGQT3QA476U4FNPL · pith_short_8: ZGQT3QA4

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/ZGQT3QA476U4FNPLMJ3QZLVYYW \
  | 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: c9a13dc01cffa9c2b5eb62770caeb8c58144dcd170a4253d6d9cd6b9cafc50fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6f6518adf4970befe6902049ef20132045e837591092b1c4026bce0b3fc1ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2026-07-04T03:43:38Z",
    "title_canon_sha256": "9753f2c80dcfd3acc9e1b405cca3188dfd37c6bc9fc2f908ce4f1e21a8a4ed77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03688",
    "kind": "arxiv",
    "version": 1
  }
}