Pith Number

pith:6LY5VLDY

pith:2010:6LY5VLDYWN5E3FSDUGTWLVV2QO

not attested not anchored not stored refs pending

Further Pieri-type formulas for the nonsymmetric Macdonald polynomials

Wendy Baratta

arxiv:1008.0892 v1 · 2010-08-04 · 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{6LY5VLDYWN5E3FSDUGTWLVV2QO}

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	2026-05-18T04:42:35.043387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f1daac78b37a4d9643a1a765d6ba83a1e4549755f9d26ea973e790c44982cb

Aliases

arxiv: 1008.0892 · arxiv_version: 1008.0892v1 · doi: 10.48550/arxiv.1008.0892 · pith_short_12: 6LY5VLDYWN5E · pith_short_16: 6LY5VLDYWN5E3FSD · pith_short_8: 6LY5VLDY

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/6LY5VLDYWN5E3FSDUGTWLVV2QO \
  | 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: f2f1daac78b37a4d9643a1a765d6ba83a1e4549755f9d26ea973e790c44982cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cb9384a4757f10f14d0e321e1b7aa68cb4454717de88a631ad64c84b00b5a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-04T23:51:15Z",
    "title_canon_sha256": "d697c9f00860bcfaedf36ba1523eef4ee454177f7a7cf2af697e23d5dc5787dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0892",
    "kind": "arxiv",
    "version": 1
  }
}