Pith Number

pith:HEPX2DDA

pith:2012:HEPX2DDAKVIVZJNXZXQVP5UDAZ

not attested not anchored not stored refs pending

Deformation of operator algebras by Borel cocycles

Amandip Sangha, Jyotishman Bhowmick, Sergey Neshveyev

arxiv:1207.2560 v2 · 2012-07-11 · 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{HEPX2DDAKVIVZJNXZXQVP5UDAZ}

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	2026-05-18T03:24:41.864194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391f7d0c6055515ca5b7cde157f6830665831232e8a538a330ca9453e044ccd0

Aliases

arxiv: 1207.2560 · arxiv_version: 1207.2560v2 · doi: 10.48550/arxiv.1207.2560 · pith_short_12: HEPX2DDAKVIV · pith_short_16: HEPX2DDAKVIVZJNX · pith_short_8: HEPX2DDA

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/HEPX2DDAKVIVZJNXZXQVP5UDAZ \
  | 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: 391f7d0c6055515ca5b7cde157f6830665831232e8a538a330ca9453e044ccd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c858469c6693dd8435c993c1610e4da3f5bcea97589c59b0609070cdd575d5a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-11T08:21:36Z",
    "title_canon_sha256": "8b91d3bf752c395fcfc4bf5651270783458f9a89b3dccdcf1083529cfd05b674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2560",
    "kind": "arxiv",
    "version": 2
  }
}