Pith Number

pith:PKRYJB63

pith:2024:PKRYJB63OEBGONVB3XUSJ7SQJE

not attested not anchored not stored refs pending

A basic triad in Macdonald theory

A. Mironov, A. Morozov, A. Popolitov

arxiv:2411.16517 v3 · 2024-11-25 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKRYJB63OEBGONVB3XUSJ7SQJE}

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.

Cited by

2 papers in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-07-05T12:02:38.009725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa38487db71026736a1dde924fe504933717685b4cc7781b5a77f682dbe2e88

Aliases

arxiv: 2411.16517 · arxiv_version: 2411.16517v3 · doi: 10.48550/arxiv.2411.16517 · pith_short_12: PKRYJB63OEBG · pith_short_16: PKRYJB63OEBGONVB · pith_short_8: PKRYJB63

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/PKRYJB63OEBGONVB3XUSJ7SQJE \
  | 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: 7aa38487db71026736a1dde924fe504933717685b4cc7781b5a77f682dbe2e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617491a8542e9b4af21ef71302099c2d6417472f5924f9099f4dd28cf9675cba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-11-25T16:00:44Z",
    "title_canon_sha256": "9d62238ed50d4fa189f3d5d317e654e8dd1d3ca2ec4db64add5a39c248825808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16517",
    "kind": "arxiv",
    "version": 3
  }
}