Pith Number

pith:UGTM5S4G

pith:2017:UGTM5S4GQJSXSDW33RDM43V6FX

not attested not anchored not stored refs pending

Effect of nilpotency on semisimplicity and cohomology of the $\Z$-module $\Z/(p_1^{k_1}\times \cdots \times p_n^{k_n})\Z$

David Ssevviiri

arxiv:1705.02528 v1 · 2017-05-06 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGTM5S4GQJSXSDW33RDM43V6FX}

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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	2026-05-18T00:44:56.264371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a6cecb868265790edbdc46ce6ebe2dfc7c15912c6e1bdb350266e82b051f33

Aliases

arxiv: 1705.02528 · arxiv_version: 1705.02528v1 · doi: 10.48550/arxiv.1705.02528 · pith_short_12: UGTM5S4GQJSX · pith_short_16: UGTM5S4GQJSXSDW3 · pith_short_8: UGTM5S4G

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/UGTM5S4GQJSXSDW33RDM43V6FX \
  | 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: a1a6cecb868265790edbdc46ce6ebe2dfc7c15912c6e1bdb350266e82b051f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11af28f22d89fc6b405420257441f39d850af272b0e018a815d5dc7db72349ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-06T20:48:26Z",
    "title_canon_sha256": "841e7ac5e9f1607a0086b5d43a17d02f4ad256686a8bc0ab8a0c0f8c509ef3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02528",
    "kind": "arxiv",
    "version": 1
  }
}