Pith Number

pith:TYQ5QPGB

pith:2023:TYQ5QPGBDODEFPCGEYCEJFB3YJ

not attested not anchored not stored refs pending

Differential embeddings into algebras of topological stable rank 1

Natalia Ma\'slany, Tomasz Kania

arxiv:2301.02320 v3 · 2023-01-05 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYQ5QPGBDODEFPCGEYCEJFB3YJ}

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	2026-07-05T09:40:36.027668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e21d83cc11b8642bc46260444943bc24bc0e0f95366621f3f5b729b3b48d7a5

Aliases

arxiv: 2301.02320 · arxiv_version: 2301.02320v3 · doi: 10.48550/arxiv.2301.02320 · pith_short_12: TYQ5QPGBDODE · pith_short_16: TYQ5QPGBDODEFPCG · pith_short_8: TYQ5QPGB

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/TYQ5QPGBDODEFPCGEYCEJFB3YJ \
  | 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: 9e21d83cc11b8642bc46260444943bc24bc0e0f95366621f3f5b729b3b48d7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888d9a141e9b3075e2c380d0d3de3a6008cb59c54474dd95eb65b84f3a1177af",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-01-05T22:37:48Z",
    "title_canon_sha256": "556cd79f731f2f8ef94460f02c278d637dfc6a1a668bd9f676ed19e80c70c4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02320",
    "kind": "arxiv",
    "version": 3
  }
}