Pith Number

pith:3Q74PDJ5

pith:2004:3Q74PDJ5TCDHIPUIZGXZDT57A3

not attested not anchored not stored refs pending

Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials

Bogdan Ion

arxiv:math/0406060 v3 · 2004-06-03 · 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{3Q74PDJ5TCDHIPUIZGXZDT57A3}

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	2026-07-04T14:49:47.823066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3fc78d3d9886743e88c9af91cfbf06f4b45d3b0695459a857289cc357ce699

Aliases

arxiv: math/0406060 · arxiv_version: math/0406060v3 · doi: 10.48550/arxiv.math/0406060 · pith_short_12: 3Q74PDJ5TCDH · pith_short_16: 3Q74PDJ5TCDHIPUI · pith_short_8: 3Q74PDJ5

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/3Q74PDJ5TCDHIPUIZGXZDT57A3 \
  | 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: dc3fc78d3d9886743e88c9af91cfbf06f4b45d3b0695459a857289cc357ce699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bba2381185505ebac4a05a1823ed65a7780678178badc1ab6b96371d38ff641",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-06-03T12:46:16Z",
    "title_canon_sha256": "b0f57dbf89893bdf076d03673eb700dfed4477725478590b8cd2cca28f2759fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406060",
    "kind": "arxiv",
    "version": 3
  }
}