Pith Number

pith:ZOUWHTP5

pith:2009:ZOUWHTP5UIS5F6EZGU4IQGVGZG

not attested not anchored not stored refs pending

Relative unitary commutator calculus and applications

N. Vavilov, R. Hazrat, Z. Zhang

arxiv:0911.5510 v2 · 2009-11-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOUWHTP5UIS5F6EZGU4IQGVGZG}

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	2026-05-18T04:27:47.787173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba963cdfda225d2f8993538881aa6c9aedf5e76d62a11c21b4a70fc1cdd419c

Aliases

arxiv: 0911.5510 · arxiv_version: 0911.5510v2 · doi: 10.48550/arxiv.0911.5510 · pith_short_12: ZOUWHTP5UIS5 · pith_short_16: ZOUWHTP5UIS5F6EZ · pith_short_8: ZOUWHTP5

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/ZOUWHTP5UIS5F6EZGU4IQGVGZG \
  | 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: cba963cdfda225d2f8993538881aa6c9aedf5e76d62a11c21b4a70fc1cdd419c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b597d2c20ff0f3db97a91095d89b3ff26e671cf74ea470b7511ac9533c177b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-11-29T19:45:14Z",
    "title_canon_sha256": "397888ad47587cddca11a91777376a020d93a6c9c65105bebcd877f394cdc5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5510",
    "kind": "arxiv",
    "version": 2
  }
}