Pith Number

pith:K5ODLS5R

pith:2025:K5ODLS5R7MEIDUIC374BTDH5OX

not attested not anchored not stored refs pending

Tensor powers of representations of (diagram) monoids

Daniel Tubbenhauer, David He

arxiv:2508.04054 v1 · 2025-08-06 · math.RT · math.CT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5ODLS5R7MEIDUIC374BTDH5OX}

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

Presentations for categories of crystals

Receipt and verification

First computed	2026-07-05T11:49:19.873399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575c35cbb1fb0881d102dff8198cfd75eb6a9658a99710dc83c667646030aecf

Aliases

arxiv: 2508.04054 · arxiv_version: 2508.04054v1 · doi: 10.48550/arxiv.2508.04054 · pith_short_12: K5ODLS5R7MEI · pith_short_16: K5ODLS5R7MEIDUIC · pith_short_8: K5ODLS5R

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/K5ODLS5R7MEIDUIC374BTDH5OX \
  | 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: 575c35cbb1fb0881d102dff8198cfd75eb6a9658a99710dc83c667646030aecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf221ddac05f3279fec994d7a5e4490b39d353349cdb5c67401e459e5a26828",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-06T03:27:04Z",
    "title_canon_sha256": "93d060f467bf5acf53ed9cafeac4093d0e5c7e5fb193d1e843d09e2c9d6d64ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04054",
    "kind": "arxiv",
    "version": 1
  }
}