Pith Number

pith:4VBFMHGQ

pith:2019:4VBFMHGQJG7MNML4NYTZBXYPFE

not attested not anchored not stored refs pending

The uniqueness of plethystic factorisation

Chris Bowman, Rowena Paget

arxiv:1903.11133 v2 · 2019-03-26 · 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{4VBFMHGQJG7MNML4NYTZBXYPFE}

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.

Cited by

1 paper in Pith

Plethysms of symmetric functions and representations of $\mathrm{SL}_2(\mathbb{C})$

Receipt and verification

First computed	2026-05-17T23:49:49.681954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e542561cd049bec6b17c6e2790df0f2907c5badc407c9443b336344d26103896

Aliases

arxiv: 1903.11133 · arxiv_version: 1903.11133v2 · doi: 10.48550/arxiv.1903.11133 · pith_short_12: 4VBFMHGQJG7M · pith_short_16: 4VBFMHGQJG7MNML4 · pith_short_8: 4VBFMHGQ

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/4VBFMHGQJG7MNML4NYTZBXYPFE \
  | 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: e542561cd049bec6b17c6e2790df0f2907c5badc407c9443b336344d26103896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d810c8c45be0f30d1341f47241daade846d21d2793814647c44ce825044934bc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-26T19:51:48Z",
    "title_canon_sha256": "eba6e53d09c9f201dc4835cc16e3fc39e24230944336e0aabd529b41e6ee31ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11133",
    "kind": "arxiv",
    "version": 2
  }
}