Pith Number

pith:4VD46TBQ

pith:2009:4VD46TBQQLCGUTSVIW2N4NQIIC

not attested not anchored not stored refs pending

A commutative algebra on degenerate CP^1 and Macdonald polynomials

A. Hoshino, B. Feigin, J. Shiraishi, K. Hashizume, S. Yanagida

arxiv:0904.2291 v1 · 2009-04-15 · math.CO · 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{4VD46TBQQLCGUTSVIW2N4NQIIC}

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	2026-05-18T02:14:00.274454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e547cf4c3082c46a4e5545b4de360840803e408fd5a07bc8c5b1b0136a3acb2c

Aliases

arxiv: 0904.2291 · arxiv_version: 0904.2291v1 · doi: 10.48550/arxiv.0904.2291 · pith_short_12: 4VD46TBQQLCG · pith_short_16: 4VD46TBQQLCGUTSV · pith_short_8: 4VD46TBQ

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/4VD46TBQQLCGUTSVIW2N4NQIIC \
  | 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: e547cf4c3082c46a4e5545b4de360840803e408fd5a07bc8c5b1b0136a3acb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785bc1acd56079ff7142d87b1920f1ccdb29e87c0c6a028997ce2e333bc74f0a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-04-15T12:02:20Z",
    "title_canon_sha256": "c11cf81e62a62905607f86f7bbcc83cc80a2492add131332e31a809f85c337c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2291",
    "kind": "arxiv",
    "version": 1
  }
}