Pith Number

pith:5S26PIUO

pith:2014:5S26PIUO6R2QNXFFG7PT7XYI4W

not attested not anchored not stored refs pending

Reflexivity and dualizability in categorified linear algebra

Alexandru Chirvasitu, Martin Brandenburg, Theo Johnson-Freyd

arxiv:1409.5934 v1 · 2014-09-21 · math.CT · math.AG · 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{5S26PIUO6R2QNXFFG7PT7XYI4W}

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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	2026-07-05T00:37:14.592569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb5e7a28ef47506dca537df3fdf08e58834b88bde4ae4ca5ffc357c0fcc9359

Aliases

arxiv: 1409.5934 · arxiv_version: 1409.5934v1 · doi: 10.48550/arxiv.1409.5934 · pith_short_12: 5S26PIUO6R2Q · pith_short_16: 5S26PIUO6R2QNXFF · pith_short_8: 5S26PIUO

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/5S26PIUO6R2QNXFFG7PT7XYI4W \
  | 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: ecb5e7a28ef47506dca537df3fdf08e58834b88bde4ae4ca5ffc357c0fcc9359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ac8f8f65113eb52e6895f97ac502341605abf0c4aa291b0dd6fc3b09e22aed",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-09-21T03:10:59Z",
    "title_canon_sha256": "5e92d3945d726b225e04ac2ea67c1ad4f1872b715bd8a290bf74b723e61e0bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5934",
    "kind": "arxiv",
    "version": 1
  }
}