Pith Number

pith:ILNIOZNV

pith:2012:ILNIOZNVZLSN4K2YWFO6YFCZLO

not attested not anchored not stored refs pending

Computing nonsymmetric and interpolation Macdonald polynomials

Wendy Baratta

arxiv:1201.4450 v1 · 2012-01-21 · 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{ILNIOZNVZLSN4K2YWFO6YFCZLO}

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	2026-05-18T04:04:06.022460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42da8765b5cae4de2b58b15dec14595ba99de0177acfa6c896c3b49c648f4460

Aliases

arxiv: 1201.4450 · arxiv_version: 1201.4450v1 · doi: 10.48550/arxiv.1201.4450 · pith_short_12: ILNIOZNVZLSN · pith_short_16: ILNIOZNVZLSN4K2Y · pith_short_8: ILNIOZNV

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/ILNIOZNVZLSN4K2YWFO6YFCZLO \
  | 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: 42da8765b5cae4de2b58b15dec14595ba99de0177acfa6c896c3b49c648f4460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f18e19fc8cc5e8441b123cf8d853e7d1ff3f8b8eddf082342d4ff29ca2240b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-21T08:36:44Z",
    "title_canon_sha256": "1e27a4569df73ed73d2b4246c0b48326490d671307d5fde23d98c2001c63793d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4450",
    "kind": "arxiv",
    "version": 1
  }
}