pith. sign in
Pith Number

pith:MACCBWGM

pith:2014:MACCBWGMPWOWGDND2M35WY5E4L
not attested not anchored not stored refs pending

Multiplicativity of Connes' calculus

Partha Sarathi Chakraborty, Satyajit Guin

arxiv:1402.5735 v1 · 2014-02-24 · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MACCBWGMPWOWGDND2M35WY5E4L}

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 2026-05-18T02:58:13.856241Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

600420d8cc7d9d630da3d337db63a4e2cfe45091c712a032627adc8e21cf5f31

Aliases

arxiv: 1402.5735 · arxiv_version: 1402.5735v1 · doi: 10.48550/arxiv.1402.5735 · pith_short_12: MACCBWGMPWOW · pith_short_16: MACCBWGMPWOWGDND · pith_short_8: MACCBWGM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MACCBWGMPWOWGDND2M35WY5E4L \
  | 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: 600420d8cc7d9d630da3d337db63a4e2cfe45091c712a032627adc8e21cf5f31
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fe0463f094bfbb5b573e76c63b063a456dacec5f9d061e370a99d2189e2a2046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-02-24T07:18:16Z",
    "title_canon_sha256": "74d098a7f441583b9aeaa0cf383ff9dd9cf74937e451230af6a54fb67b9bb5fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5735",
    "kind": "arxiv",
    "version": 1
  }
}