Pith Number

pith:FNZ3IBMQ

pith:2013:FNZ3IBMQ2WC6QU7457SEP53RT3

not attested not anchored not stored refs pending

Schr\"odinger representations from the viewpoint of monoidal categories

Kenichi Shimizu, Michihisa Wakui

arxiv:1312.5037 v1 · 2013-12-18 · 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{FNZ3IBMQ2WC6QU7457SEP53RT3}

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.

Receipt and verification

First computed	2026-05-18T03:04:16.516120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b73b40590d585e853fcefe447f7719ee955d27ddc3c3d4c3afddcbdc473a6c4

Aliases

arxiv: 1312.5037 · arxiv_version: 1312.5037v1 · doi: 10.48550/arxiv.1312.5037 · pith_short_12: FNZ3IBMQ2WC6 · pith_short_16: FNZ3IBMQ2WC6QU74 · pith_short_8: FNZ3IBMQ

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/FNZ3IBMQ2WC6QU7457SEP53RT3 \
  | 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: 2b73b40590d585e853fcefe447f7719ee955d27ddc3c3d4c3afddcbdc473a6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc22a1fef5ca0e6bfcdd301e906756836404ef6885d698bb28509c673dd9302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-18T04:28:37Z",
    "title_canon_sha256": "7d04da42ee1b0c5c949934d663156f1213c10f683a01d640bf87699c913a6def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5037",
    "kind": "arxiv",
    "version": 1
  }
}