Pith Number

pith:K56WYSKR

pith:2013:K56WYSKRUN5G2L4RHHX2ZR6XIO

not attested not anchored not stored refs pending

Bracket map for Heisenberg group and the characterization of cyclic subspaces

Azita Mayeli, Davide Barbieri, Eugenio Hernandez

arxiv:1303.2350 v1 · 2013-03-10 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K56WYSKRUN5G2L4RHHX2ZR6XIO}

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	2026-05-18T03:31:19.275087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577d6c4951a37a6d2f9139efacc7d743ae719875268e98db477bbeddac8448d5

Aliases

arxiv: 1303.2350 · arxiv_version: 1303.2350v1 · doi: 10.48550/arxiv.1303.2350 · pith_short_12: K56WYSKRUN5G · pith_short_16: K56WYSKRUN5G2L4R · pith_short_8: K56WYSKR

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/K56WYSKRUN5G2L4RHHX2ZR6XIO \
  | 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: 577d6c4951a37a6d2f9139efacc7d743ae719875268e98db477bbeddac8448d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "749479f05bf338303cff59bfc6adf5a2abdfe3c72561d4e3b852f91ecf3e92f2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-10T17:44:37Z",
    "title_canon_sha256": "e12de4f3653582df9b3ccca417d3c7b457ade0c6375db598bf40063d6fe46514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2350",
    "kind": "arxiv",
    "version": 1
  }
}