Pith Number

pith:GV5VPGNN

pith:2005:GV5VPGNNQVF5SDBBEKEFXLBI72

not attested not anchored not stored refs pending

New fermionic formula for unrestricted Kostka polynomials

Anne Schilling, Lipika Deka

arxiv:math/0509194 v2 · 2005-09-08 · 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{GV5VPGNNQVF5SDBBEKEFXLBI72}

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	2026-05-18T03:04:15.789422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357b5799ad854bd90c2122885bac28fe87ff50ef48aa9fea2f9667af5d26df0a

Aliases

arxiv: math/0509194 · arxiv_version: math/0509194v2 · doi: 10.48550/arxiv.math/0509194 · pith_short_12: GV5VPGNNQVF5 · pith_short_16: GV5VPGNNQVF5SDBB · pith_short_8: GV5VPGNN

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/GV5VPGNNQVF5SDBBEKEFXLBI72 \
  | 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: 357b5799ad854bd90c2122885bac28fe87ff50ef48aa9fea2f9667af5d26df0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113462173236ab203715b3d03dadd9a6926c9e08308934d343c576f717310c4c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2005-09-08T18:59:49Z",
    "title_canon_sha256": "f7b7cb8793c22602cbdf5e42e33f95ff6ab5d1a1fe343853f2a09aa830ae1326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509194",
    "kind": "arxiv",
    "version": 2
  }
}