Pith Number

pith:NIDZIS6W

pith:2016:NIDZIS6WSQPUD7N3YPTU6LWWCJ

not attested not anchored not stored refs pending

The cohomology ring of certain families of periodic virtually cyclic groups

Daciberg Lima Gon\c{c}alves, M\'arcio de Jesus Soares, S\'ergio Tadao Martins

arxiv:1603.01475 v1 · 2016-03-04 · 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{NIDZIS6WSQPUD7N3YPTU6LWWCJ}

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	2026-05-18T01:19:35.946258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a07944bd6941f41fdbbc3e74f2ed612627074dda8b9129a3d128f9aeef830c5

Aliases

arxiv: 1603.01475 · arxiv_version: 1603.01475v1 · doi: 10.48550/arxiv.1603.01475 · pith_short_12: NIDZIS6WSQPU · pith_short_16: NIDZIS6WSQPUD7N3 · pith_short_8: NIDZIS6W

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/NIDZIS6WSQPUD7N3YPTU6LWWCJ \
  | 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: 6a07944bd6941f41fdbbc3e74f2ed612627074dda8b9129a3d128f9aeef830c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe56f6a5c466f654cfe3f847f2839b83559900d213568907292a7651a103e75",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-04T14:23:38Z",
    "title_canon_sha256": "a7d946605e0ea3b640ea8fcf0787f235dd3f591ef03517551a973a3cb6ef7fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01475",
    "kind": "arxiv",
    "version": 1
  }
}