Pith Number

pith:ZTY6QRN6

pith:2012:ZTY6QRN6E66WH6J657DE4VVQEO

not attested not anchored not stored refs pending

Permanence properties for crossed products and fixed point algebras of finite groups

Cornel Pasnicu, N. Christopher Phillips

arxiv:1208.3810 v1 · 2012-08-19 · 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{ZTY6QRN6E66WH6J657DE4VVQEO}

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	2026-05-18T03:48:26.146838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf1e845be27bd63f93eefc64e56b023853df96b8fb7055228e2fa2a43d0db21

Aliases

arxiv: 1208.3810 · arxiv_version: 1208.3810v1 · doi: 10.48550/arxiv.1208.3810 · pith_short_12: ZTY6QRN6E66W · pith_short_16: ZTY6QRN6E66WH6J6 · pith_short_8: ZTY6QRN6

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/ZTY6QRN6E66WH6J657DE4VVQEO \
  | 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: ccf1e845be27bd63f93eefc64e56b023853df96b8fb7055228e2fa2a43d0db21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2453298b490e27d7019c31ef21d6a3ecb30f09fb242e88c8ad9e3e6e34e335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-19T05:10:10Z",
    "title_canon_sha256": "56ceffdbfd692bfd50763c83cc973a07742acc86f21c0dab1189a48e394ea371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3810",
    "kind": "arxiv",
    "version": 1
  }
}