Pith Number

pith:CPC5E65B

pith:2018:CPC5E65BRRJQTJMTHTXGHWBRLD

not attested not anchored not stored refs pending

Sampling and periodization of generators of Heisenberg modules

Franz Luef, Mads Sielemann Jakobsen

arxiv:1811.10925 v1 · 2018-11-27 · math.OA · 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{CPC5E65BRRJQTJMTHTXGHWBRLD}

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	2026-05-17T23:59:45.653817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c5d27ba18c5309a5933cee63d83158e3f69b0112e9eef359ec73af58f94ca8

Aliases

arxiv: 1811.10925 · arxiv_version: 1811.10925v1 · doi: 10.48550/arxiv.1811.10925 · pith_short_12: CPC5E65BRRJQ · pith_short_16: CPC5E65BRRJQTJMT · pith_short_8: CPC5E65B

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/CPC5E65BRRJQTJMTHTXGHWBRLD \
  | 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: 13c5d27ba18c5309a5933cee63d83158e3f69b0112e9eef359ec73af58f94ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6c82ddc28262ab0a1fe6735e657871b19731256e509572eda446d9fc637843",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-11-27T11:48:07Z",
    "title_canon_sha256": "656b9b274644b12eb81cb7f7ea3fff33d5de3ceaad161afa1b8a74938a2ddcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10925",
    "kind": "arxiv",
    "version": 1
  }
}