Pith Number

pith:6DWFRIVC

pith:2012:6DWFRIVCGRGPSCO4SNT7NXTA5D

not attested not anchored not stored refs pending

Topological freeness for Hilbert bimodules

B. K. Kwasniewski

arxiv:1212.0361 v1 · 2012-12-03 · 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{6DWFRIVCGRGPSCO4SNT7NXTA5D}

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	2026-05-18T02:40:47.637861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ec58a2a2344cf909dc9367f6de60e8cad6ab85e611a4166ca85a4ac66aeb1b

Aliases

arxiv: 1212.0361 · arxiv_version: 1212.0361v1 · doi: 10.48550/arxiv.1212.0361 · pith_short_12: 6DWFRIVCGRGP · pith_short_16: 6DWFRIVCGRGPSCO4 · pith_short_8: 6DWFRIVC

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/6DWFRIVCGRGPSCO4SNT7NXTA5D \
  | 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: f0ec58a2a2344cf909dc9367f6de60e8cad6ab85e611a4166ca85a4ac66aeb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8503edae626f06654c95776528b06e9963f7be6a1b8039408972f6f8a716142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-03T12:24:40Z",
    "title_canon_sha256": "119b3aa0766c5d4f85306d0c9887df6889075064332552a5fac4e5d96965026f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0361",
    "kind": "arxiv",
    "version": 1
  }
}