Pith Number

pith:WAAXHM2W

pith:2017:WAAXHM2WCDNVKSMRHTO5XJ4SF4

not attested not anchored not stored refs pending

Metaplectic transformations and finite group actions on noncommutative tori

Franz Luef, Sayan Chakraborty

arxiv:1705.11194 v2 · 2017-05-31 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAAXHM2WCDNVKSMRHTO5XJ4SF4}

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	2026-05-17T23:55:29.953199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00173b35610db5549913cdddba7922f1c0f2f8535121d22c60f087141492a72

Aliases

arxiv: 1705.11194 · arxiv_version: 1705.11194v2 · doi: 10.48550/arxiv.1705.11194 · pith_short_12: WAAXHM2WCDNV · pith_short_16: WAAXHM2WCDNVKSMR · pith_short_8: WAAXHM2W

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/WAAXHM2WCDNVKSMRHTO5XJ4SF4 \
  | 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: b00173b35610db5549913cdddba7922f1c0f2f8535121d22c60f087141492a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d973424da5872371a3919456ebf454eb81e28b11846752538aa47b9cebfd0d3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-05-31T17:58:27Z",
    "title_canon_sha256": "e8492b8ef67d4a3322087139206e409f9d2b37f2b626352374b92fb10601d0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11194",
    "kind": "arxiv",
    "version": 2
  }
}