Pith Number

pith:4DCDUTOT

pith:2019:4DCDUTOTV6QJHM7S7Q7PFV4GKT

not attested not anchored not stored refs pending

Arithmetic of Heisenberg ring and cyclic group actions

Jan Milewski, Piotr Kraso\'n

arxiv:1905.11815 v1 · 2019-05-25 · math-ph · math.MP · 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{4DCDUTOTV6QJHM7S7Q7PFV4GKT}

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	2026-05-17T23:44:50.174969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c43a4dd3afa093b3f2fc3ef2d78654df0b5b96311c45bf76a0c2be05da3b45

Aliases

arxiv: 1905.11815 · arxiv_version: 1905.11815v1 · doi: 10.48550/arxiv.1905.11815 · pith_short_12: 4DCDUTOTV6QJ · pith_short_16: 4DCDUTOTV6QJHM7S · pith_short_8: 4DCDUTOT

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/4DCDUTOTV6QJHM7S7Q7PFV4GKT \
  | 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: e0c43a4dd3afa093b3f2fc3ef2d78654df0b5b96311c45bf76a0c2be05da3b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31724d16657ff7e62e8a99eb82a9d091d5e2ac2249cb491fcd58303544c931aa",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-25T17:44:31Z",
    "title_canon_sha256": "8373fabc552aad5a137a09458c291e2f137cb123518bccced86f0a965e86e0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11815",
    "kind": "arxiv",
    "version": 1
  }
}