Pith Number

pith:UZ3E5J5F

pith:2018:UZ3E5J5FWMJMOR3US53QPGWWZS

not attested not anchored not stored refs pending

The Relative Monoidal Center and Tensor Products of Monoidal Categories

Robert Laugwitz

arxiv:1803.04403 v4 · 2018-03-12 · math.QA · math.CT · 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{UZ3E5J5FWMJMOR3US53QPGWWZS}

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

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

Receipt and verification

First computed	2026-07-05T06:06:37.860283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6764ea7a5b312c747749777079ad6cc8d38887968f67abd5ffbde4c4f09b487

Aliases

arxiv: 1803.04403 · arxiv_version: 1803.04403v4 · doi: 10.48550/arxiv.1803.04403 · pith_short_12: UZ3E5J5FWMJM · pith_short_16: UZ3E5J5FWMJMOR3U · pith_short_8: UZ3E5J5F

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/UZ3E5J5FWMJMOR3US53QPGWWZS \
  | 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: a6764ea7a5b312c747749777079ad6cc8d38887968f67abd5ffbde4c4f09b487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c27010f8a2d457a9f3af7191845fb910aecfde925db24b06354210802bb61c",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-12T17:55:37Z",
    "title_canon_sha256": "5c31ded63a81aea61e23f3e37b797fa51f5e4233323cedf955b059188f5316e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04403",
    "kind": "arxiv",
    "version": 4
  }
}