Pith Number

pith:RNGYDHJL

pith:2014:RNGYDHJLE2CKXMFOYKZQWDE4DA

not attested not anchored not stored refs pending

Overview of the Heisenberg--Weyl Algebra and Subsets of Riordan Subgroups

Christian Lavault (LIPN), Silvia Goodenough (LIPN)

arxiv:1404.1894 v3 · 2014-04-07 · cs.DM · math.CO · math.OA · math.RA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNGYDHJLE2CKXMFOYKZQWDE4DA}

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	2026-05-18T01:22:15.001402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4d819d2b2684abb0aec2b30b0c9c183267f8934fdd11021fbda6b4e9c36a1a

Aliases

arxiv: 1404.1894 · arxiv_version: 1404.1894v3 · doi: 10.48550/arxiv.1404.1894 · pith_short_12: RNGYDHJLE2CK · pith_short_16: RNGYDHJLE2CKXMFO · pith_short_8: RNGYDHJL

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/RNGYDHJLE2CKXMFOYKZQWDE4DA \
  | 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: 8b4d819d2b2684abb0aec2b30b0c9c183267f8934fdd11021fbda6b4e9c36a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0f50c5e1103c59536363153b7338eb9263285a8704765a7ea97ef78413b163",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA",
      "math.RA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-04-07T19:25:46Z",
    "title_canon_sha256": "10487cea11b82042e68cb83abcaf9e8317bcfc8b593ec791ad1e09bc2d5ff11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1894",
    "kind": "arxiv",
    "version": 3
  }
}