Pith Number

pith:K4PWIEMX

pith:2019:K4PWIEMXSCESDHBUVO746DOIA6

not attested not anchored not stored refs pending

Nonsymmetric Macdonald polynomials via integrable vertex models

Alexei Borodin, Michael Wheeler

arxiv:1904.06804 v1 · 2019-04-15 · math-ph · math.CO · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4PWIEMXSCESDHBUVO746DOIA6}

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	2026-05-17T23:48:36.181700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571f6411979089219c34abbfcf0dc807986fe67e88b1edc1ef3637fd6acf8935

Aliases

arxiv: 1904.06804 · arxiv_version: 1904.06804v1 · doi: 10.48550/arxiv.1904.06804 · pith_short_12: K4PWIEMXSCES · pith_short_16: K4PWIEMXSCESDHBU · pith_short_8: K4PWIEMX

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/K4PWIEMXSCESDHBUVO746DOIA6 \
  | 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: 571f6411979089219c34abbfcf0dc807986fe67e88b1edc1ef3637fd6acf8935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfdd19e9aa51fdc3fbed1f3816b65e1e37445a3d916f0a8e652b727826f4773d",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-15T01:19:25Z",
    "title_canon_sha256": "4f42ef77ae1b06f2d62dc77008154cb457ddd5df08fe45a9e50af5fb6a4a4893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06804",
    "kind": "arxiv",
    "version": 1
  }
}