Pith Number

pith:3DFNORAX

pith:2019:3DFNORAX2F6UEQMJV4AIDDWNMB

not attested not anchored not stored refs pending

Fourier transform, Schr\"odinger representation, and Heisenberg modules

Hyun Ho Lee

arxiv:1908.04514 v1 · 2019-08-13 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DFNORAX2F6UEQMJV4AIDDWNMB}

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	2026-07-04T23:55:14.398330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cad74417d17d424189af00818ecd607fc248a10d5d6f37d468f1056b83455e

Aliases

arxiv: 1908.04514 · arxiv_version: 1908.04514v1 · doi: 10.48550/arxiv.1908.04514 · pith_short_12: 3DFNORAX2F6U · pith_short_16: 3DFNORAX2F6UEQMJ · pith_short_8: 3DFNORAX

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/3DFNORAX2F6UEQMJV4AIDDWNMB \
  | 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: d8cad74417d17d424189af00818ecd607fc248a10d5d6f37d468f1056b83455e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d2cf442534f592fe12b3e4def05460d2a7c09d8a3e8c5ea6fe9f1052a463ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-08-13T06:56:16Z",
    "title_canon_sha256": "f793707244490ee7c130547fe6baee328f68bf3cd2a34ffee99afcfb32df03fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04514",
    "kind": "arxiv",
    "version": 1
  }
}