Pith Number

pith:7TKDPQ35

pith:2025:7TKDPQ356IE6PGWR3MGU3CWRNX

not attested not anchored not stored refs pending

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

Thibault D. D\'ecoppet

arxiv:2506.16241 v1 · 2025-06-19 · math.QA · 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{7TKDPQ356IE6PGWR3MGU3CWRNX}

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

Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories

Receipt and verification

First computed	2026-07-05T11:25:46.660014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd437c37df209e79ad1db0d4d8ad16def8513f6c4779020f7afd7debc7ca1a5

Aliases

arxiv: 2506.16241 · arxiv_version: 2506.16241v1 · doi: 10.48550/arxiv.2506.16241 · pith_short_12: 7TKDPQ356IE6 · pith_short_16: 7TKDPQ356IE6PGWR · pith_short_8: 7TKDPQ35

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/7TKDPQ356IE6PGWR3MGU3CWRNX \
  | 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: fcd437c37df209e79ad1db0d4d8ad16def8513f6c4779020f7afd7debc7ca1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e436ed8b26d85fbbc48c1a42bc40f5865803cf596db51771ca0365895aeee992",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-06-19T11:57:11Z",
    "title_canon_sha256": "125ae84c33ea7d2caab234ca4784cd9e943337ac550a77bb0836d62aba25ab9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16241",
    "kind": "arxiv",
    "version": 1
  }
}