Pith Number

pith:YSQ5FMF2

pith:2001:YSQ5FMF2QLE4C7V5FLBSPVWVFE

not attested not anchored not stored refs pending

Nonsymmetric Macdonald polynomials and Demazure characters

Bogdan Ion

arxiv:math/0105061 v2 · 2001-05-08 · 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{YSQ5FMF2QLE4C7V5FLBSPVWVFE}

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	2026-07-04T14:35:19.724439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a1d2b0ba82c9c17ebd2ac327d6d5290d1b937bea55959de4e5c409e216dc8b

Aliases

arxiv: math/0105061 · arxiv_version: math/0105061v2 · doi: 10.48550/arxiv.math/0105061 · pith_short_12: YSQ5FMF2QLE4 · pith_short_16: YSQ5FMF2QLE4C7V5 · pith_short_8: YSQ5FMF2

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/YSQ5FMF2QLE4C7V5FLBSPVWVFE \
  | 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: c4a1d2b0ba82c9c17ebd2ac327d6d5290d1b937bea55959de4e5c409e216dc8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7be947236f73b54339a1d35a5ce5acdde1c5249c37910afbe57fea3e9f2012",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-05-08T21:09:50Z",
    "title_canon_sha256": "2f79d66f1d2dc5b368457a7ec408eea63593e5f4a3245fc702e2c9601d4dedc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105061",
    "kind": "arxiv",
    "version": 2
  }
}