Pith Number

pith:MV5WZ2XI

pith:2021:MV5WZ2XI3PRER7DMZQZWLSTM2W

not attested not anchored not stored refs pending

Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory

Donald Yau, Niles Johnson

arxiv:2107.10526 v1 · 2021-07-22 · math.CT · math.AT · math.KT · 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{MV5WZ2XI3PRER7DMZQZWLSTM2W}

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

Completeness for Probabilistic Boolean Tapes

Receipt and verification

First computed	2026-07-05T03:00:00.862253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657b6ceae8dbe248fc6ccc3365ca6cd5bbd3688dda13ab49d83ee07b7250ec47

Aliases

arxiv: 2107.10526 · arxiv_version: 2107.10526v1 · doi: 10.48550/arxiv.2107.10526 · pith_short_12: MV5WZ2XI3PRE · pith_short_16: MV5WZ2XI3PRER7DM · pith_short_8: MV5WZ2XI

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/MV5WZ2XI3PRER7DMZQZWLSTM2W \
  | 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: 657b6ceae8dbe248fc6ccc3365ca6cd5bbd3688dda13ab49d83ee07b7250ec47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed6e77a9c10a026dd630cc43f46276170c8818102d02ebf019da7dd99073640",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-07-22T08:56:41Z",
    "title_canon_sha256": "8c85281821ae37458eb192c6b09adea3c3d0de82d056e724d7cec527057ada78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10526",
    "kind": "arxiv",
    "version": 1
  }
}