Pith Number

pith:3L6X6S4E

pith:2018:3L6X6S4ET3LXTWTPYUX2E4UJD3

not attested not anchored not stored refs pending

Stanley symmetric functions for signed involutions

Brendan Pawlowski, Eric Marberg

arxiv:1806.11208 v3 · 2018-06-28 · 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{3L6X6S4ET3LXTWTPYUX2E4UJD3}

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	2026-05-17T23:42:14.062833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dafd7f4b849ed779da6fc52fa272891ecb3458aedc07d65fd6e91215c7ec9761

Aliases

arxiv: 1806.11208 · arxiv_version: 1806.11208v3 · doi: 10.48550/arxiv.1806.11208 · pith_short_12: 3L6X6S4ET3LX · pith_short_16: 3L6X6S4ET3LXTWTP · pith_short_8: 3L6X6S4E

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/3L6X6S4ET3LXTWTPYUX2E4UJD3 \
  | 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: dafd7f4b849ed779da6fc52fa272891ecb3458aedc07d65fd6e91215c7ec9761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2e852334eca00c5a4f176eb5cb4380ec3ca6dfc8fa9b7ddf43de0d50c333b9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-28T21:57:58Z",
    "title_canon_sha256": "4cbcbf613bc9e5487fa288c90cfd77bfd8f3f50efb6306251391d32cb75a707a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11208",
    "kind": "arxiv",
    "version": 3
  }
}