Pith Number

pith:LMN6D546

pith:2025:LMN6D546N4Y7XFTGVYM35JDSU6

not attested not anchored not stored refs pending

The Sch\"utzenberger involution and colored lattice models

Carl Westerlund, Henrik P. A. Gustafsson

arxiv:2505.07806 v1 · 2025-05-12 · 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{LMN6D546N4Y7XFTGVYM35JDSU6}

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	2026-07-05T11:01:53.440037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1be1f79e6f31fb9666ae19bea472a7ab8f37a43e1ccd2110e08c547a69b78f

Aliases

arxiv: 2505.07806 · arxiv_version: 2505.07806v1 · doi: 10.48550/arxiv.2505.07806 · pith_short_12: LMN6D546N4Y7 · pith_short_16: LMN6D546N4Y7XFTG · pith_short_8: LMN6D546

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/LMN6D546N4Y7XFTGVYM35JDSU6 \
  | 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: 5b1be1f79e6f31fb9666ae19bea472a7ab8f37a43e1ccd2110e08c547a69b78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d165d8255f57b6f40591e3f09ea2f69fab4f7e79bbc0a1208478897bad83d7f2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-12T17:54:54Z",
    "title_canon_sha256": "3833d0bd6e7764e203b0ff84e9c4697b412a8508abefb9215c1ce6f45fd3e8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07806",
    "kind": "arxiv",
    "version": 1
  }
}