Pith Number

pith:PBMT3OB5

pith:2026:PBMT3OB5MIGY3STKBZZLLLYPXI

not attested not anchored not stored refs pending

On geometrically reductive tensor categories

Kevin Coulembier

arxiv:2605.19167 v1 · 2026-05-18 · 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{PBMT3OB5MIGY3STKBZZLLLYPXI}

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	2026-05-20T01:05:31.263787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78593db83d620d8dca6a0e72b5af0fba044562a1dec3ec0360af9ebd51383620

Aliases

arxiv: 2605.19167 · arxiv_version: 2605.19167v1 · doi: 10.48550/arxiv.2605.19167 · pith_short_12: PBMT3OB5MIGY · pith_short_16: PBMT3OB5MIGY3STK · pith_short_8: PBMT3OB5

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/PBMT3OB5MIGY3STKBZZLLLYPXI \
  | 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: 78593db83d620d8dca6a0e72b5af0fba044562a1dec3ec0360af9ebd51383620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bac29bb26ea85d1a56517490cedfd2661049adbbfa5696945126497784994482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-18T22:42:46Z",
    "title_canon_sha256": "5e95ff65faf6010e7c60f86e96cf45783879b0e9ceaa8a37dfb3b7e7350861de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19167",
    "kind": "arxiv",
    "version": 1
  }
}