Pith Number

pith:BIOTOJLW

pith:2009:BIOTOJLWU3YLFBWSAMOPVFMRUP

not attested not anchored not stored refs pending

Invariant tensors and the cyclic sieving phenomenon

Bruce W. Westbury

arxiv:0912.1512 v4 · 2009-12-08 · math.RT · 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{BIOTOJLWU3YLFBWSAMOPVFMRUP}

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	2026-05-18T00:44:39.231854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1d372576a6f0b286d2031cfa9591a3e83be8d3f7f634481ed70d2f7f153b39

Aliases

arxiv: 0912.1512 · arxiv_version: 0912.1512v4 · doi: 10.48550/arxiv.0912.1512 · pith_short_12: BIOTOJLWU3YL · pith_short_16: BIOTOJLWU3YLFBWS · pith_short_8: BIOTOJLW

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/BIOTOJLWU3YLFBWSAMOPVFMRUP \
  | 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: 0a1d372576a6f0b286d2031cfa9591a3e83be8d3f7f634481ed70d2f7f153b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659df5a6d18571fd788f474a9fe10137838dc18b00f71f60e95a3046e9dba1a1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-08T15:47:44Z",
    "title_canon_sha256": "c5b383e649891f71de8f6fea994bd1b7f806711241d967fec7fc14c59e512fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1512",
    "kind": "arxiv",
    "version": 4
  }
}