Pith Number

pith:746IJZEZ

pith:2015:746IJZEZB63BS25KNSK64TQD5P

not attested not anchored not stored refs pending

Certain actions of finitely generated groups on higher dimensional noncommutative tori

Zhuofeng He

arxiv:1505.02968 v1 · 2015-05-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{746IJZEZB63BS25KNSK64TQD5P}

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	2026-05-18T02:14:15.449574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3c84e4990fb6196baa6c95ee4e03ebef97eef60d61d92f46cdc24ce90cd584

Aliases

arxiv: 1505.02968 · arxiv_version: 1505.02968v1 · doi: 10.48550/arxiv.1505.02968 · pith_short_12: 746IJZEZB63B · pith_short_16: 746IJZEZB63BS25K · pith_short_8: 746IJZEZ

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/746IJZEZB63BS25KNSK64TQD5P \
  | 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: ff3c84e4990fb6196baa6c95ee4e03ebef97eef60d61d92f46cdc24ce90cd584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b61e203d31147746015b08b9932ac259b0d40d712b0a785848926411c8d405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-12T11:43:05Z",
    "title_canon_sha256": "80093b6f80997d6edfaf31bc3d6b7146b1d2ba9ae33190fcd321032a16c8d751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02968",
    "kind": "arxiv",
    "version": 1
  }
}