Pith Number

pith:XVTZHZXL

pith:2016:XVTZHZXLX32FMO6OTDFVDCCMBA

not attested not anchored not stored refs pending

Hochschild homology and cohomology of down-up algebras

Andrea Solotar, Estanislao Herscovich, Sergio Chouhy

arxiv:1609.09809 v1 · 2016-09-30 · math.KT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVTZHZXLX32FMO6OTDFVDCCMBA}

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	2026-05-18T01:03:33.316149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6793e6ebbef4563bce98cb51884c0824490f6066950d98a06b095d05f8217e

Aliases

arxiv: 1609.09809 · arxiv_version: 1609.09809v1 · doi: 10.48550/arxiv.1609.09809 · pith_short_12: XVTZHZXLX32F · pith_short_16: XVTZHZXLX32FMO6O · pith_short_8: XVTZHZXL

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/XVTZHZXLX32FMO6OTDFVDCCMBA \
  | 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: bd6793e6ebbef4563bce98cb51884c0824490f6066950d98a06b095d05f8217e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d055d984cb07b8d778bbe747ab4ae30f240e06ffbfbcbbe59bfeeab41d9405d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-09-30T16:48:17Z",
    "title_canon_sha256": "46160681f9109da890e252d30de52aba7b755fd9658611074db89b9c20c895dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09809",
    "kind": "arxiv",
    "version": 1
  }
}