Pith Number

pith:MRNDXEZS

pith:2026:MRNDXEZSDIV75LALMJBGEF55M4

not attested not anchored not stored refs pending

A Variational Framework for LLM Generator-Regulator Games

Quanyan Zhu

arxiv:2606.18424 v1 · 2026-06-16 · stat.OT · cs.AI · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRNDXEZSDIV75LALMJBGEF55M4}

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	2026-06-19T16:11:00.904953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645a3b93321a2bfeac0b62426217bd67311cfdf105fb99670ab23966480d4b7a

Aliases

arxiv: 2606.18424 · arxiv_version: 2606.18424v1 · doi: 10.48550/arxiv.2606.18424 · pith_short_12: MRNDXEZSDIV7 · pith_short_16: MRNDXEZSDIV75LAL · pith_short_8: MRNDXEZS

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/MRNDXEZSDIV75LALMJBGEF55M4 \
  | 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: 645a3b93321a2bfeac0b62426217bd67311cfdf105fb99670ab23966480d4b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5560225942361165c012e32f0edc3a1fe4a2e7eeaf209270907fd096d99f4202",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2026-06-16T19:19:22Z",
    "title_canon_sha256": "def86270ec579ad272508d5670fa32a3381e6dd0ff39a4d1c4fd558299fb3cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18424",
    "kind": "arxiv",
    "version": 1
  }
}