Pith Number

pith:RB6VHUCN

pith:2012:RB6VHUCNSKZU6CRE7CRVRSI2XK

not attested not anchored not stored refs pending

Oscillating convolution operators on the Heisenberg group

Woocheol Choi

arxiv:1204.5654 v4 · 2012-04-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RB6VHUCNSKZU6CRE7CRVRSI2XK}

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	2026-05-18T03:53:43.484040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

887d53d04d92b34f0a24f8a358c91abaaedced1599f8695ad666ac5010a8139b

Aliases

arxiv: 1204.5654 · arxiv_version: 1204.5654v4 · doi: 10.48550/arxiv.1204.5654 · pith_short_12: RB6VHUCNSKZU · pith_short_16: RB6VHUCNSKZU6CRE · pith_short_8: RB6VHUCN

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/RB6VHUCNSKZU6CRE7CRVRSI2XK \
  | 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: 887d53d04d92b34f0a24f8a358c91abaaedced1599f8695ad666ac5010a8139b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e37f18c0601f239afaa1be44215355ae52238333703b0733b54014fcad09d51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-25T13:39:24Z",
    "title_canon_sha256": "8785267274db4ae0ecee5ee91b1e8fdeb7e58b7b1febc84114bd447d4527936d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5654",
    "kind": "arxiv",
    "version": 4
  }
}