Pith Number

pith:YD77W2RV

pith:2004:YD77W2RVVLQSCHH5WJMEJAT53I

not attested not anchored not stored refs pending

Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series

Bogdan Ion

arxiv:math/0407044 v5 · 2004-07-03 · 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{YD77W2RVVLQSCHH5WJMEJAT53I}

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	2026-07-04T14:50:06.197686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fffb6a35aae1211cfdb25844827dda1b30a7f6410624b0cac85f51473a6014

Aliases

arxiv: math/0407044 · arxiv_version: math/0407044v5 · doi: 10.48550/arxiv.math/0407044 · pith_short_12: YD77W2RVVLQS · pith_short_16: YD77W2RVVLQSCHH5 · pith_short_8: YD77W2RV

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/YD77W2RVVLQSCHH5WJMEJAT53I \
  | 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: c0fffb6a35aae1211cfdb25844827dda1b30a7f6410624b0cac85f51473a6014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77765fba030c0f2ab491dd26c72d579ab11b6ba522e17133440988839cb93be1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-07-03T16:28:52Z",
    "title_canon_sha256": "2bae4246cf3265ae5312697ee140a0fbc887a621c08d08bf1e30befff9caf5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407044",
    "kind": "arxiv",
    "version": 5
  }
}