Pith Number

pith:I7NTMOQU

pith:2019:I7NTMOQUTGNEGJHI3QZ2LMTFTA

not attested not anchored not stored refs pending

Partial generalized crossed products and a seven-term exact sequence

A. Paques, H. Pinedo, I. Rocha, M. Dokuchaev

arxiv:1908.05820 v1 · 2019-08-16 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7NTMOQUTGNEGJHI3QZ2LMTFTA}

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.

Cited by

1 paper in Pith

The third partial cohomology group and existence of extensions of semilattices of groups by groups

Receipt and verification

First computed	2026-07-04T23:57:53.470560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47db363a14999a4324e8dc33a5b26598361431852d70fede867d3b344ffd6cca

Aliases

arxiv: 1908.05820 · arxiv_version: 1908.05820v1 · doi: 10.48550/arxiv.1908.05820 · pith_short_12: I7NTMOQUTGNE · pith_short_16: I7NTMOQUTGNEGJHI · pith_short_8: I7NTMOQU

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/I7NTMOQUTGNEGJHI3QZ2LMTFTA \
  | 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: 47db363a14999a4324e8dc33a5b26598361431852d70fede867d3b344ffd6cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e586b148a7da822b109af8dc54bf750f0f4da33275a0b766179cd178a63501",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-16T02:39:09Z",
    "title_canon_sha256": "edfab608e84b6c729be5a5e99d803a45588074ae5dbfe56d29015a9e92fe19a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05820",
    "kind": "arxiv",
    "version": 1
  }
}