Pith Number

pith:PGIDRBJ5

pith:2016:PGIDRBJ5G6NBW5JWXI3RAAIKAF

not attested not anchored not stored refs pending

Eilenberg-Watts calculus for finite categories and a bimodule Radford $S^4$ theorem

Christoph Schweigert, Gregor Schaumann, J\"urgen Fuchs

arxiv:1612.04561 v3 · 2016-12-14 · math.RT · math.CT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGIDRBJ5G6NBW5JWXI3RAAIKAF}

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

String nets for twisted pivotal categories

Receipt and verification

First computed	2026-07-05T00:19:05.235565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799038853d379a1b7536ba3710010a014aea3269f98afcdbe14d9e7fe423c2c7

Aliases

arxiv: 1612.04561 · arxiv_version: 1612.04561v3 · doi: 10.48550/arxiv.1612.04561 · pith_short_12: PGIDRBJ5G6NB · pith_short_16: PGIDRBJ5G6NBW5JW · pith_short_8: PGIDRBJ5

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/PGIDRBJ5G6NBW5JWXI3RAAIKAF \
  | 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: 799038853d379a1b7536ba3710010a014aea3269f98afcdbe14d9e7fe423c2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7644c400cd288526de7fd9fdb8bb87417a42074280953833ba1505945b402df",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-14T10:19:53Z",
    "title_canon_sha256": "e0e97b5a4ee22d840cd49a1b29f77760b3d3fa8d015f57a49db79b17739fd0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04561",
    "kind": "arxiv",
    "version": 3
  }
}