Pith Number

pith:ZKZWVYEG

pith:2010:ZKZWVYEGLOOYVUTQMYOVTLJ6RD

not attested not anchored not stored refs pending

On Reduced Amalgamated Free Products of C*-algebras and the MF-Property

Jonas Andersen Seebach

arxiv:1004.3721 v3 · 2010-04-21 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKZWVYEGLOOYVUTQMYOVTLJ6RD}

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	2026-05-18T04:23:11.735367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab36ae0865b9d8ad270661d59ad3e88dd8394eba4738453d09628579fb5394d

Aliases

arxiv: 1004.3721 · arxiv_version: 1004.3721v3 · doi: 10.48550/arxiv.1004.3721 · pith_short_12: ZKZWVYEGLOOY · pith_short_16: ZKZWVYEGLOOYVUTQ · pith_short_8: ZKZWVYEG

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/ZKZWVYEGLOOYVUTQMYOVTLJ6RD \
  | 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: cab36ae0865b9d8ad270661d59ad3e88dd8394eba4738453d09628579fb5394d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cf3ee815f6f93af90c76258efd37c1b4596e24e5fb3d634ec5a101c072132b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-21T14:55:24Z",
    "title_canon_sha256": "5cf58a8d30a11eb8161600b46cc3fda301e1bd1ed0d386ab7deebb73e9b8a31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3721",
    "kind": "arxiv",
    "version": 3
  }
}