Pith Number

pith:LHYYC3OP

pith:2026:LHYYC3OPMTBCXTJMQPY5O5D2RN

not attested not anchored not stored refs pending

Beyond Heuristic Tuning: Power-Calibrated LLM Watermarking

Chengyuan Liu, Runze Li, Xiaopu Wang, Zelin He

arxiv:2607.05694 v1 · 2026-07-06 · stat.ML · 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{LHYYC3OPMTBCXTJMQPY5O5D2RN}

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	2026-07-08T01:18:41.756940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f1816dcf64c22bcd2c83f1d7747a8b6ea0705a6320f858ace33d07a0eb306d

Aliases

arxiv: 2607.05694 · arxiv_version: 2607.05694v1 · doi: 10.48550/arxiv.2607.05694 · pith_short_12: LHYYC3OPMTBC · pith_short_16: LHYYC3OPMTBCXTJM · pith_short_8: LHYYC3OP

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/LHYYC3OPMTBCXTJMQPY5O5D2RN \
  | 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: 59f1816dcf64c22bcd2c83f1d7747a8b6ea0705a6320f858ace33d07a0eb306d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfeebab7f1b90c90b115cc4df95f08afd6e467cf427cadca23acbb48f6fbbe77",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-06T23:23:14Z",
    "title_canon_sha256": "1a04e5f682fba77d8590b31150b6deed97393b45dc13cfd09ceb15cfc20c9402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05694",
    "kind": "arxiv",
    "version": 1
  }
}