Pith Number

pith:HCJYDIZS

pith:2018:HCJYDIZSNXPPXEQDLQBZ3B7DTK

not attested not anchored not stored refs pending

Unitary dual functors for unitary multitensor categories

David Penneys

arxiv:1808.00323 v1 · 2018-08-01 · math.QA · math.CT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCJYDIZSNXPPXEQDLQBZ3B7DTK}

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

Local topological order, Haag duality, and reflection positivity

Receipt and verification

First computed	2026-05-18T00:09:06.441687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389381a3326ddefb92035c039d87e39a932c95e08e4531baaf29b01fbb56b7e4

Aliases

arxiv: 1808.00323 · arxiv_version: 1808.00323v1 · doi: 10.48550/arxiv.1808.00323 · pith_short_12: HCJYDIZSNXPP · pith_short_16: HCJYDIZSNXPPXEQD · pith_short_8: HCJYDIZS

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/HCJYDIZSNXPPXEQDLQBZ3B7DTK \
  | 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: 389381a3326ddefb92035c039d87e39a932c95e08e4531baaf29b01fbb56b7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846301afb05618ce3a382dd53d0bf1106eff16dacb30158a781b072593d7c865",
    "cross_cats_sorted": [
      "math.CT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-08-01T14:06:15Z",
    "title_canon_sha256": "99d341d2f76f606126300e6f9381390377667d5f9254e11b41eb6e0635c214d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00323",
    "kind": "arxiv",
    "version": 1
  }
}