Pith Number

pith:GRNA4JCU

pith:2025:GRNA4JCUEYZGCRXJZMX7Z2AS7H

not attested not anchored not stored refs pending

Superintegrability for some $(q,t)$-deformed matrix models

Fan Liu, Jie Yang, Rui Wang, Wei-Zhong Zhao

arxiv:2510.18524 v3 · 2025-10-21 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRNA4JCUEYZGCRXJZMX7Z2AS7H}

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	2026-05-20T00:04:15.361012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345a0e245426326146e9cb2ffce812f9e11fb9bd49eaa1edcbd2d1d1c307b146

Aliases

arxiv: 2510.18524 · arxiv_version: 2510.18524v3 · doi: 10.48550/arxiv.2510.18524 · pith_short_12: GRNA4JCUEYZG · pith_short_16: GRNA4JCUEYZGCRXJ · pith_short_8: GRNA4JCU

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/GRNA4JCUEYZGCRXJZMX7Z2AS7H \
  | 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: 345a0e245426326146e9cb2ffce812f9e11fb9bd49eaa1edcbd2d1d1c307b146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643e629eaa749bc84015a4e18e15823ad82626b4986d568c4d38f16041395c98",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-10-21T11:04:23Z",
    "title_canon_sha256": "d4c2bf0cc0f76a0b0f7d2c6e426c595f916d751f946e9d6a4f204c232c19c494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.18524",
    "kind": "arxiv",
    "version": 3
  }
}