Pith Number

pith:RZ4T6EZA

pith:2009:RZ4T6EZA2G4PRCCB2IBBAGH7IR

not attested not anchored not stored refs pending

Haglund-Haiman-Loehr Type Formulas for Hall-Littlewood Polynomials of Type B and C

Cristian Lenart

arxiv:0904.2407 v1 · 2009-04-16 · math.CO · 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{RZ4T6EZA2G4PRCCB2IBBAGH7IR}

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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

1 paper in Pith

Formulas for Koornwinder polynomials

Receipt and verification

First computed	2026-07-04T15:41:18.511258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e793f1320d1b8f88841d2021018ff444adcef4447fe1bd9448efc4d99abb7d7

Aliases

arxiv: 0904.2407 · arxiv_version: 0904.2407v1 · doi: 10.48550/arxiv.0904.2407 · pith_short_12: RZ4T6EZA2G4P · pith_short_16: RZ4T6EZA2G4PRCCB · pith_short_8: RZ4T6EZA

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/RZ4T6EZA2G4PRCCB2IBBAGH7IR \
  | 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: 8e793f1320d1b8f88841d2021018ff444adcef4447fe1bd9448efc4d99abb7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89e3f0e1e30596765c6cfb478760f142ee32d70c473c722fa5c4687b3cde9cd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-04-16T16:41:47Z",
    "title_canon_sha256": "a4a96ec9824b8e5fe31489f2ff8616283cad11d6ffb592dc4098f2a1d46484cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2407",
    "kind": "arxiv",
    "version": 1
  }
}