Pith Number

pith:MWNG7EDG

pith:2015:MWNG7EDGWB7R2D4PFR2ADEYIY6

not attested not anchored not stored refs pending

Liberation theory for noncommutative homogeneous spaces

Teodor Banica

arxiv:1505.07755 v4 · 2015-05-28 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWNG7EDGWB7R2D4PFR2ADEYIY6}

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	2026-05-18T00:50:43.123588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659a6f9066b07f1d0f8f2c74019308c782f214fca568d44d1a711c69200da3df

Aliases

arxiv: 1505.07755 · arxiv_version: 1505.07755v4 · doi: 10.48550/arxiv.1505.07755 · pith_short_12: MWNG7EDGWB7R · pith_short_16: MWNG7EDGWB7R2D4P · pith_short_8: MWNG7EDG

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/MWNG7EDGWB7R2D4PFR2ADEYIY6 \
  | 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: 659a6f9066b07f1d0f8f2c74019308c782f214fca568d44d1a711c69200da3df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a169994b6fbf56fe5f03025d59d1a5bd1e65da620c3c6b40bce7cfaf8ade60c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-28T16:52:54Z",
    "title_canon_sha256": "f34b00c323fbb725f7be30531f29973eeb43d9f0931c9e5fc07b9a5c6ada6e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07755",
    "kind": "arxiv",
    "version": 4
  }
}