Pith Number

pith:BTKT2I2J

pith:2013:BTKT2I2JU7AMTWWOA7RR3M7K2N

not attested not anchored not stored refs pending

On Frobenius and separable algebra extensions in monoidal categories. Applications to wreaths

Blas Torrecillas, Daniel Bulacu

arxiv:1303.0802 v1 · 2013-03-04 · math.QA · math.RA · 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{BTKT2I2JU7AMTWWOA7RR3M7K2N}

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	2026-05-18T03:31:54.855115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd53d2349a7c0c9dace07e31db3ead37029d1a181265e4aaf5a8c548a83ec0e

Aliases

arxiv: 1303.0802 · arxiv_version: 1303.0802v1 · doi: 10.48550/arxiv.1303.0802 · pith_short_12: BTKT2I2JU7AM · pith_short_16: BTKT2I2JU7AMTWWO · pith_short_8: BTKT2I2J

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/BTKT2I2JU7AMTWWOA7RR3M7K2N \
  | 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: 0cd53d2349a7c0c9dace07e31db3ead37029d1a181265e4aaf5a8c548a83ec0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da15c8997bc53299ce1da384891167f072514790f3e77100e965118e61182f7",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-03-04T19:29:38Z",
    "title_canon_sha256": "178ee5e3733c9325bf1088eb4d87f7b673ee867475b40f755a4b0544272f3526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0802",
    "kind": "arxiv",
    "version": 1
  }
}