Pith Number

pith:GR22GGUF

pith:2018:GR22GGUFKIT7FTXIN2Q3N7H24C

not attested not anchored not stored refs pending

Quantum Lax pairs via Dunkl and Cherednik operators

Oleg Chalykh

arxiv:1804.01766 v2 · 2018-04-05 · math.QA · 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{GR22GGUFKIT7FTXIN2Q3N7H24C}

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	2026-05-17T23:43:51.310328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3475a31a855227f2cee86ea1b6fcfae0ac0d365d1a100118297c4b414b0bb566

Aliases

arxiv: 1804.01766 · arxiv_version: 1804.01766v2 · doi: 10.48550/arxiv.1804.01766 · pith_short_12: GR22GGUFKIT7 · pith_short_16: GR22GGUFKIT7FTXI · pith_short_8: GR22GGUF

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/GR22GGUFKIT7FTXIN2Q3N7H24C \
  | 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: 3475a31a855227f2cee86ea1b6fcfae0ac0d365d1a100118297c4b414b0bb566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12dc7a24ee9fa2dd086b8605af0b87f6d5d398f1740f1097d1378a90502896e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-04-05T10:31:24Z",
    "title_canon_sha256": "4bc2b38fbe318e14ac6dd8c91e604506cc034487b5b633fb847950172a776426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01766",
    "kind": "arxiv",
    "version": 2
  }
}