Pith Number

pith:HPOTGVGA

pith:2013:HPOTGVGAQKJPOHXH2KJL5TZWGE

not attested not anchored not stored refs pending

Crossed products by spectrally free actions

Cornel Pasnicu, N. Christopher Phillips

arxiv:1308.4921 v1 · 2013-08-22 · 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{HPOTGVGAQKJPOHXH2KJL5TZWGE}

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	2026-05-18T03:15:19.372053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdd3354c08292f71ee7d292becf36311d058f6ccf094a591745a5acf8c69e62

Aliases

arxiv: 1308.4921 · arxiv_version: 1308.4921v1 · doi: 10.48550/arxiv.1308.4921 · pith_short_12: HPOTGVGAQKJP · pith_short_16: HPOTGVGAQKJPOHXH · pith_short_8: HPOTGVGA

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/HPOTGVGAQKJPOHXH2KJL5TZWGE \
  | 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: 3bdd3354c08292f71ee7d292becf36311d058f6ccf094a591745a5acf8c69e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5e2b6c12d5df6bffe96fa5a3b2fdae95271331e176f8fcd10c4c88c757ec45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-22T17:11:37Z",
    "title_canon_sha256": "e4e89a896117d258c5d345cd175a487aded320ef4d8fe59ba16ad936d6403f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4921",
    "kind": "arxiv",
    "version": 1
  }
}