Pith Number

pith:Y5YR3RCW

pith:2016:Y5YR3RCWJQE4TJ5AFL2AYKSVBS

not attested not anchored not stored refs pending

A Wiener Lemma for the discrete Heisenberg group: Invertibility criteria and applications to algebraic dynamics

Evgeny Verbitskiy, Klaus Schmidt, Martin G\"oll

arxiv:1603.08225 v1 · 2016-03-27 · math.DS · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5YR3RCWJQE4TJ5AFL2AYKSVBS}

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	2026-05-18T01:18:12.837051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7711dc4564c09c9a7a02af40c2a550c8dd807c57d63c297d1e13aebcbac884a

Aliases

arxiv: 1603.08225 · arxiv_version: 1603.08225v1 · doi: 10.48550/arxiv.1603.08225 · pith_short_12: Y5YR3RCWJQE4 · pith_short_16: Y5YR3RCWJQE4TJ5A · pith_short_8: Y5YR3RCW

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/Y5YR3RCWJQE4TJ5AFL2AYKSVBS \
  | 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: c7711dc4564c09c9a7a02af40c2a550c8dd807c57d63c297d1e13aebcbac884a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60680022c5bcd153f6dae7e0a7b94ec6f2cdbd3096e0645c9fa7b4c1c2bcf214",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-27T15:18:56Z",
    "title_canon_sha256": "092423ac20cfa9a5f052b194fac23a6506b9888231490985d1f66b09f0fd7837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08225",
    "kind": "arxiv",
    "version": 1
  }
}