Pith Number

pith:LFCX7W5J

pith:2006:LFCX7W5JNF5N7HUSON4EPMEQK6

not attested not anchored not stored refs pending

Pieri's Formula for Generalized Schur Polynomials

Yasuhide Numata

arxiv:math/0606386 v2 · 2006-06-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFCX7W5JNF5N7HUSON4EPMEQK6}

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	2026-05-18T04:24:04.907896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59457fdba9697adf9e92737847b09057b28f156462bd2e5b1686cd5b3a553a52

Aliases

arxiv: math/0606386 · arxiv_version: math/0606386v2 · doi: 10.48550/arxiv.math/0606386 · pith_short_12: LFCX7W5JNF5N · pith_short_16: LFCX7W5JNF5N7HUS · pith_short_8: LFCX7W5J

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/LFCX7W5JNF5N7HUSON4EPMEQK6 \
  | 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: 59457fdba9697adf9e92737847b09057b28f156462bd2e5b1686cd5b3a553a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18957874fa9d2081ccd881dde10effa7b5f636242dabcf19b4877a9c7555a40",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-06-16T05:39:05Z",
    "title_canon_sha256": "2f074f32763e66f805df80ee82cdc5c6555c0b9587509dfb23d377f25da4ac8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606386",
    "kind": "arxiv",
    "version": 2
  }
}