Pith Number

pith:DMEDFFPR

pith:2015:DMEDFFPR55MXVYRSU656M5ZGGY

not attested not anchored not stored refs pending

Ultraproduct methods for mixed $q$-Gaussian algebras

Marius Junge, Qiang Zeng

arxiv:1505.07852 v2 · 2015-05-28 · math.OA · math-ph · math.FA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMEDFFPR55MXVYRSU656M5ZGGY}

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	2026-05-18T00:55:34.487551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b083295f1ef597ae232a7bbe6772636110e5c833cd038f3abbcc42d3717dc00

Aliases

arxiv: 1505.07852 · arxiv_version: 1505.07852v2 · doi: 10.48550/arxiv.1505.07852 · pith_short_12: DMEDFFPR55MX · pith_short_16: DMEDFFPR55MXVYRS · pith_short_8: DMEDFFPR

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/DMEDFFPR55MXVYRSU656M5ZGGY \
  | 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: 1b083295f1ef597ae232a7bbe6772636110e5c833cd038f3abbcc42d3717dc00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868ce5edca2cb15128733d4cce9a03f9815a1ff91f927c333f4105a91dcecbb9",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-28T20:30:36Z",
    "title_canon_sha256": "9d11806b57baf384f34f364b59a6c612e9913c38e0af9378613ac5ada3dc7b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07852",
    "kind": "arxiv",
    "version": 2
  }
}