Pith Number

pith:RZQP3TKV

pith:2009:RZQP3TKVB4V5ILP7BCFTPLP52G

not attested not anchored not stored refs pending

Hopf algebras, tetramodules, and n-fold monoidal categories

Boris Shoikhet

arxiv:0907.3335 v2 · 2009-07-20 · math.CT · 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{RZQP3TKVB4V5ILP7BCFTPLP52G}

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	2026-07-04T17:22:03.174021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e60fdcd550f2bd42dff088b37adfdd181cfcf7d58b0f2a1be5d64619eb5da62

Aliases

arxiv: 0907.3335 · arxiv_version: 0907.3335v2 · doi: 10.48550/arxiv.0907.3335 · pith_short_12: RZQP3TKVB4V5 · pith_short_16: RZQP3TKVB4V5ILP7 · pith_short_8: RZQP3TKV

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/RZQP3TKVB4V5ILP7BCFTPLP52G \
  | 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: 8e60fdcd550f2bd42dff088b37adfdd181cfcf7d58b0f2a1be5d64619eb5da62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8e13c769fce81c90f656faf798c159551f64c00563407de29dca45e28ed7fe",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-07-20T04:18:56Z",
    "title_canon_sha256": "1cec3324ec53ff7550596b60a632079a0fb9188b21c9c24f780889a56400f498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3335",
    "kind": "arxiv",
    "version": 2
  }
}