Pith Number

pith:DATZFS7I

pith:2009:DATZFS7IMJEY2HWESP4SMENE33

not attested not anchored not stored refs pending

Kernel decompositions for Schur functions on the polydisk

Greg Knese

arxiv:0909.1828 v1 · 2009-09-09 · math.CV · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DATZFS7IMJEY2HWESP4SMENE33}

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	2026-05-18T03:34:36.084677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182792cbe862498d1ec493f92611a4dee9475370435f8036afba874c9f719d5a

Aliases

arxiv: 0909.1828 · arxiv_version: 0909.1828v1 · doi: 10.48550/arxiv.0909.1828 · pith_short_12: DATZFS7IMJEY · pith_short_16: DATZFS7IMJEY2HWE · pith_short_8: DATZFS7I

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/DATZFS7IMJEY2HWESP4SMENE33 \
  | 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: 182792cbe862498d1ec493f92611a4dee9475370435f8036afba874c9f719d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a35c0d132d68e2f6f5ad9163215879a8a5d29ea3087e1108b61b12a7d9d819f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-09-09T20:59:17Z",
    "title_canon_sha256": "1dcc42ed4c0761685ef4b5937cb99911b6378811d5f058b2e5800fd0d2e744e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1828",
    "kind": "arxiv",
    "version": 1
  }
}