Pith Number

pith:WXQHXYFY

pith:2011:WXQHXYFYDM3L3PA6AVBN2UJIAS

not attested not anchored not stored refs pending

On the group cohomology of the semi-direct product Z^n rtimes Z/m and a conjecture of Adem-Ge-Pan-Petrosyan

Martin Langer, Wolfgang Lueck

arxiv:1105.4772 v1 · 2011-05-24 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXQHXYFYDM3L3PA6AVBN2UJIAS}

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	2026-05-18T04:21:21.818214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e07be0b81b36bdbc1e0542dd512804a23cf0abfbccc535d292432bf62a20ff

Aliases

arxiv: 1105.4772 · arxiv_version: 1105.4772v1 · doi: 10.48550/arxiv.1105.4772 · pith_short_12: WXQHXYFYDM3L · pith_short_16: WXQHXYFYDM3L3PA6 · pith_short_8: WXQHXYFY

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/WXQHXYFYDM3L3PA6AVBN2UJIAS \
  | 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: b5e07be0b81b36bdbc1e0542dd512804a23cf0abfbccc535d292432bf62a20ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cca9e1d010bcb7b4f2a7bef121a32e6112b92671f27bf4670333485e615fcc1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-24T14:09:44Z",
    "title_canon_sha256": "695570cd104ff33659dc39ce69b775cf2bf5af0521d8ca2c7b99bc54230a74f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4772",
    "kind": "arxiv",
    "version": 1
  }
}