Pith Number

pith:THMJZRRH

pith:2018:THMJZRRHPZ5V4QPVHRIX7MV2HP

not attested not anchored not stored refs pending

An integral second fundamental theorem of invariant theory for partition algebras

Chris Bowman, Stephen Doty, Stuart Martin

arxiv:1804.00916 v5 · 2018-04-03 · 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{THMJZRRHPZ5V4QPVHRIX7MV2HP}

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

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-05T02:55:04.425345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d89cc6277e7b5e41f53c517fb2ba3be131a27514d677cd22573da47a22765b

Aliases

arxiv: 1804.00916 · arxiv_version: 1804.00916v5 · doi: 10.48550/arxiv.1804.00916 · pith_short_12: THMJZRRHPZ5V · pith_short_16: THMJZRRHPZ5V4QPV · pith_short_8: THMJZRRH

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/THMJZRRHPZ5V4QPVHRIX7MV2HP \
  | 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: 99d89cc6277e7b5e41f53c517fb2ba3be131a27514d677cd22573da47a22765b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c223be86ce06600d47237065a6db81c277687c02da55558b5f84521438333c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-04-03T11:35:05Z",
    "title_canon_sha256": "8adc30f621b2fe91a1766fe30a21ef490ef13def9d56334806c777bad4c44e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00916",
    "kind": "arxiv",
    "version": 5
  }
}