Pith Number

pith:XTKLM2WW

pith:2018:XTKLM2WWU4CVQ6TJKGVLPIYX2B

not attested not anchored not stored refs pending

Promotion on oscillating and alternating tableaux and rotation of matchings and permutations

Bruce W. Westbury, Martin Rubey, Stephan Pfannerer

arxiv:1804.06736 v2 · 2018-04-18 · 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{XTKLM2WWU4CVQ6TJKGVLPIYX2B}

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	2026-05-17T23:40:20.785487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd4b66ad6a705587a6951aab7a317d0634192addd99a643c26cfb047a87adee

Aliases

arxiv: 1804.06736 · arxiv_version: 1804.06736v2 · doi: 10.48550/arxiv.1804.06736 · pith_short_12: XTKLM2WWU4CV · pith_short_16: XTKLM2WWU4CVQ6TJ · pith_short_8: XTKLM2WW

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/XTKLM2WWU4CVQ6TJKGVLPIYX2B \
  | 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: bcd4b66ad6a705587a6951aab7a317d0634192addd99a643c26cfb047a87adee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ba2fb92323a4f6517a69308a17a939eb3a7feb9f696d0863f59cdee482e0de",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-18T14:04:46Z",
    "title_canon_sha256": "12b50f3e7ab044c2ca1d2d0e2789e61ea65d7e6f153ef6522d5ecf97a07b9d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06736",
    "kind": "arxiv",
    "version": 2
  }
}