Pith Number

pith:LF7YLEMK

pith:2022:LF7YLEMKMPWCTHUATXVR6LOCIN

not attested not anchored not stored refs pending

Invariant Theory for the free left-regular band and a q-analogue

Patricia Commins, Sarah Brauner, Victor Reiner

arxiv:2206.11406 v3 · 2022-06-22 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LF7YLEMKMPWCTHUATXVR6LOCIN}

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	2026-07-05T11:50:23.760674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597f85918a63ec299e809deb1f2dc2436850ab80bc71d9674dbf73add2b022c9

Aliases

arxiv: 2206.11406 · arxiv_version: 2206.11406v3 · doi: 10.48550/arxiv.2206.11406 · pith_short_12: LF7YLEMKMPWC · pith_short_16: LF7YLEMKMPWCTHUA · pith_short_8: LF7YLEMK

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/LF7YLEMKMPWCTHUATXVR6LOCIN \
  | 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: 597f85918a63ec299e809deb1f2dc2436850ab80bc71d9674dbf73add2b022c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54a651025682bc97f11278f121e8b68f899b622b90f1e426829ce97a3aa63ab",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-22T22:16:56Z",
    "title_canon_sha256": "42bee9735c7ccfa2cb1ba07c3236585b575f93579e15a581d5cad4513f20b8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.11406",
    "kind": "arxiv",
    "version": 3
  }
}