Pith Number

pith:QZNPSEPH

pith:2011:QZNPSEPH2YZTDOZN6DYHCRBGK7

not attested not anchored not stored refs pending

Tannaka duality and convolution for duoidal categories

Ross Street, Thomas Booker

arxiv:1111.5659 v1 · 2011-11-24 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZNPSEPH2YZTDOZN6DYHCRBGK7}

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	2026-05-18T04:07:42.638248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865af911e7d63331bb2df0f071442657c202d68c203e4e0374e11e4f1fffe8f6

Aliases

arxiv: 1111.5659 · arxiv_version: 1111.5659v1 · doi: 10.48550/arxiv.1111.5659 · pith_short_12: QZNPSEPH2YZT · pith_short_16: QZNPSEPH2YZTDOZN · pith_short_8: QZNPSEPH

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/QZNPSEPH2YZTDOZN6DYHCRBGK7 \
  | 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: 865af911e7d63331bb2df0f071442657c202d68c203e4e0374e11e4f1fffe8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00019ef86cff204164746588b4ce647c48cc3973ace5f72ae3611ccc4895c8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-11-24T00:36:11Z",
    "title_canon_sha256": "ff8d982b3394e10dd5b6ff7dac31122f978a417311fee060c2fbab80edd1d363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5659",
    "kind": "arxiv",
    "version": 1
  }
}