Pith Number

pith:VIP3MNGR

pith:2012:VIP3MNGR36RFQAXGARYSBWTXXO

not attested not anchored not stored refs pending

Groups with many finitary cohomology functors

P. H. Kropholler

arxiv:1208.1008 v1 · 2012-08-05 · 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{VIP3MNGR36RFQAXGARYSBWTXXO}

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	2026-05-18T03:49:20.809908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1fb634d1dfa25802e6047120da77bb918d61e738d32c0cd6ef5e2d0374fb2c

Aliases

arxiv: 1208.1008 · arxiv_version: 1208.1008v1 · doi: 10.48550/arxiv.1208.1008 · pith_short_12: VIP3MNGR36RF · pith_short_16: VIP3MNGR36RFQAXG · pith_short_8: VIP3MNGR

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/VIP3MNGR36RFQAXGARYSBWTXXO \
  | 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: aa1fb634d1dfa25802e6047120da77bb918d61e738d32c0cd6ef5e2d0374fb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b873e25faa2f295d718f98be3e230fba8f07032983f973789a9412a459eccaab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-05T13:27:45Z",
    "title_canon_sha256": "21af4bab66ec5ba2854cf6c5f50744b3c9348d803859a821de03296e7cc3832b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1008",
    "kind": "arxiv",
    "version": 1
  }
}