Pith Number

pith:UM2PPUMB

pith:2025:UM2PPUMBR5RS4H5KCOJ7VGVKX7

not attested not anchored not stored refs pending

Representation gaps of rigid planar diagram monoids

Daniel Tubbenhauer, Willow Stewart

arxiv:2505.05846 v1 · 2025-05-09 · math.RT · cs.CR · math.GR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UM2PPUMBR5RS4H5KCOJ7VGVKX7}

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	2026-07-05T11:00:48.770968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a334f7d1818f632e1faa1393fa9aaabfecf4549b5b89c7a4e7eb29186d48cfc3

Aliases

arxiv: 2505.05846 · arxiv_version: 2505.05846v1 · doi: 10.48550/arxiv.2505.05846 · pith_short_12: UM2PPUMBR5RS · pith_short_16: UM2PPUMBR5RS4H5K · pith_short_8: UM2PPUMB

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/UM2PPUMBR5RS4H5KCOJ7VGVKX7 \
  | 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: a334f7d1818f632e1faa1393fa9aaabfecf4549b5b89c7a4e7eb29186d48cfc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "801971cb28f9b217fbcd78f9bd4d260f29f27ed0a7f36aeb0e63357e372b174f",
    "cross_cats_sorted": [
      "cs.CR",
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-09T07:37:15Z",
    "title_canon_sha256": "5c6015af879ec13eae0edc20bff7979cb40b1ddd0cd59b6de50d31bca953b3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05846",
    "kind": "arxiv",
    "version": 1
  }
}