Pith Number

pith:T2EPMRTA

pith:2016:T2EPMRTA22JDMV6ZIN6ZLWXBQ2

not attested not anchored not stored refs pending

Commutants for enriched algebraic theories and monads

Rory B. B. Lucyshyn-Wright

arxiv:1604.08569 v2 · 2016-04-28 · 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{T2EPMRTA22JDMV6ZIN6ZLWXBQ2}

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	2026-05-18T00:35:44.298816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e88f64660d6923657d9437d95dae186aaad8dd2931e1bdccd1f8d2f18bdacb2

Aliases

arxiv: 1604.08569 · arxiv_version: 1604.08569v2 · doi: 10.48550/arxiv.1604.08569 · pith_short_12: T2EPMRTA22JD · pith_short_16: T2EPMRTA22JDMV6Z · pith_short_8: T2EPMRTA

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/T2EPMRTA22JDMV6ZIN6ZLWXBQ2 \
  | 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: 9e88f64660d6923657d9437d95dae186aaad8dd2931e1bdccd1f8d2f18bdacb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36728494d432c494f436296eb3ab3d33b8a4d34eff9d9029f0c7137a85613800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-04-28T19:39:27Z",
    "title_canon_sha256": "b396725957bc91bd497961c1574f82944f91e2973ad77b65d83d64386a4299a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08569",
    "kind": "arxiv",
    "version": 2
  }
}