Pith Number

pith:O7SOCCIZ

pith:2024:O7SOCCIZINXDW7BX57IXY4PT77

not attested not anchored not stored refs pending

Compact Semisimple Tensor 2-Categories are Morita Connected

Sean Sanford, Thibault D. D\'ecoppet

arxiv:2412.15019 v2 · 2024-12-19 · 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{O7SOCCIZINXDW7BX57IXY4PT77}

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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	2026-07-05T11:09:05.654561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e4e10919436e3b7c37efd17c71f3ffe4af7185b984515cf8ee282c4c651225

Aliases

arxiv: 2412.15019 · arxiv_version: 2412.15019v2 · doi: 10.48550/arxiv.2412.15019 · pith_short_12: O7SOCCIZINXD · pith_short_16: O7SOCCIZINXDW7BX · pith_short_8: O7SOCCIZ

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/O7SOCCIZINXDW7BX57IXY4PT77 \
  | 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: 77e4e10919436e3b7c37efd17c71f3ffe4af7185b984515cf8ee282c4c651225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da05bd537c3fef879f008b8faac95f450729be3b7b631fb449c8e602e1394628",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-12-19T16:31:06Z",
    "title_canon_sha256": "027d3f6906214d79cdef25c9f406723f29a07f3ed87d57955cd5357fc59fcb6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15019",
    "kind": "arxiv",
    "version": 2
  }
}