Pith Number

pith:XAKS4IMM

pith:2014:XAKS4IMMLSJ435NM5FW57EGVHI

not attested not anchored not stored refs pending

The Hopf monoid on nonnesting supercharacters of pattern groups

Scott Andrews

arxiv:1405.5480 v3 · 2014-05-21 · 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{XAKS4IMMLSJ435NM5FW57EGVHI}

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	2026-05-18T01:36:48.343688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8152e218c5c93cdf5ace96ddf90d53a157fdfef671be60d3b1e0d0701a68726

Aliases

arxiv: 1405.5480 · arxiv_version: 1405.5480v3 · doi: 10.48550/arxiv.1405.5480 · pith_short_12: XAKS4IMMLSJ4 · pith_short_16: XAKS4IMMLSJ435NM · pith_short_8: XAKS4IMM

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/XAKS4IMMLSJ435NM5FW57EGVHI \
  | 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: b8152e218c5c93cdf5ace96ddf90d53a157fdfef671be60d3b1e0d0701a68726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63a90d208026835c8512ffca76cee1dacf2a6ba547bbd85883c17b97f98efc4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-21T17:12:47Z",
    "title_canon_sha256": "9df4b3f8e383635141527263e14c6ddc5a8d89fb7f44bdb656cc45bf3a43175a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5480",
    "kind": "arxiv",
    "version": 3
  }
}