Pith Number

pith:CHJD3SXL

pith:2018:CHJD3SXLFQOROSR5LCP7FQQNRE

not attested not anchored not stored refs pending

Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at $t = \infty$

Daisuke Sagaki, Satoshi Naito

arxiv:1802.06339 v2 · 2018-02-18 · math.QA · 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{CHJD3SXLFQOROSR5LCP7FQQNRE}

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	2026-05-17T23:56:29.985816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d23dcaeb2c1d174a3d589ff2c20d892d8a086fc006e85c17927ad350bc363a

Aliases

arxiv: 1802.06339 · arxiv_version: 1802.06339v2 · doi: 10.48550/arxiv.1802.06339 · pith_short_12: CHJD3SXLFQOR · pith_short_16: CHJD3SXLFQOROSR5 · pith_short_8: CHJD3SXL

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/CHJD3SXLFQOROSR5LCP7FQQNRE \
  | 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: 11d23dcaeb2c1d174a3d589ff2c20d892d8a086fc006e85c17927ad350bc363a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168de5e709830690e6713ca5e25caa6be1f4955cc60823eceb70f6a6cf697e01",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-02-18T06:17:29Z",
    "title_canon_sha256": "2a6bc09622509a892d499e2cb9e29d9dc6c5b9940b136abb9003c0cf6bb432d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06339",
    "kind": "arxiv",
    "version": 2
  }
}