Pith Number

pith:EMPLA4XE

pith:2016:EMPLA4XEVKPXLIXSXK3HUG6NLG

not attested not anchored not stored refs pending

Generalized Foulkes modules and maximal and minimal constituents of plethysms of Schur functions

Mark Wildon, Rowena Paget

arxiv:1608.04018 v2 · 2016-08-13 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMPLA4XEVKPXLIXSXK3HUG6NLG}

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	2026-05-18T00:00:46.021721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

231eb072e4aa9f75a2f2bab67a1bcd5990565b6945d301e693a2b5ef9de21873

Aliases

arxiv: 1608.04018 · arxiv_version: 1608.04018v2 · doi: 10.48550/arxiv.1608.04018 · pith_short_12: EMPLA4XEVKPX · pith_short_16: EMPLA4XEVKPXLIXS · pith_short_8: EMPLA4XE

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/EMPLA4XEVKPXLIXSXK3HUG6NLG \
  | 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: 231eb072e4aa9f75a2f2bab67a1bcd5990565b6945d301e693a2b5ef9de21873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b81b7ce2259d479622067612509bac09983144047057ba7f5d62149915a836",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-13T19:13:52Z",
    "title_canon_sha256": "63269a4e3bb0b409708d363662d560c44703ddd801a0b778a781c8ac7eb313f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04018",
    "kind": "arxiv",
    "version": 2
  }
}