Pith Number

pith:TMHH2BZZ

pith:2019:TMHH2BZZUST55MZ2EQH7UN5BHW

not attested not anchored not stored refs pending

Voronoi complexes in higher dimensions, cohomology of $GL_N(Z)$ for $N\geq 8$ and the triviality of $K_8(Z)$

Alexander Kupers, Jacques Martinet, Mathieu Dutour Sikiri\'c, Philippe Elbaz-Vincent

arxiv:1910.11598 v1 · 2019-10-25 · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMHH2BZZUST55MZ2EQH7UN5BHW}

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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.

Cited by

1 paper in Pith

Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures

Receipt and verification

First computed	2026-07-05T00:14:48.103438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0e7d0739a4a7deb33a240ffa37a13d885fe322f840071d2509aadf3df59c56

Aliases

arxiv: 1910.11598 · arxiv_version: 1910.11598v1 · doi: 10.48550/arxiv.1910.11598 · pith_short_12: TMHH2BZZUST5 · pith_short_16: TMHH2BZZUST55MZ2 · pith_short_8: TMHH2BZZ

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/TMHH2BZZUST55MZ2EQH7UN5BHW \
  | 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: 9b0e7d0739a4a7deb33a240ffa37a13d885fe322f840071d2509aadf3df59c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bbe03cc06b28b83906f7a4fe7d9c117e37b6bfda7f622ee93b186bcd4ad431",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-10-25T09:46:42Z",
    "title_canon_sha256": "05107d5817e5f259ed11f45337daff14cb5622c07b2e89c2069bbc4c761f27cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11598",
    "kind": "arxiv",
    "version": 1
  }
}