Pith Number

pith:6HZNA4IJ

pith:2017:6HZNA4IJYEP2PJYI2ITTENAAYF

not attested not anchored not stored refs pending

A finitely generated group that does not satisfy the generalized Burghelea Conjecture

A. Dranishnikov, M. Hull

arxiv:1701.03165 v2 · 2017-01-11 · math.KT · math.AT · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HZNA4IJYEP2PJYI2ITTENAAYF}

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	2026-05-17T23:47:12.914058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f2d07109c11fa7a708d227323400c15cc06fc5cc20faee6c20e6381aff70b9

Aliases

arxiv: 1701.03165 · arxiv_version: 1701.03165v2 · doi: 10.48550/arxiv.1701.03165 · pith_short_12: 6HZNA4IJYEP2 · pith_short_16: 6HZNA4IJYEP2PJYI · pith_short_8: 6HZNA4IJ

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/6HZNA4IJYEP2PJYI2ITTENAAYF \
  | 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: f1f2d07109c11fa7a708d227323400c15cc06fc5cc20faee6c20e6381aff70b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2873cfd7253c897805d4fe3cbf584e0ce7b212c85ca8272a1d8aabd7221c7a7c",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-01-11T20:57:48Z",
    "title_canon_sha256": "cf359fd1944a87c5f71e7e2fa5862024b15a149b2beded4d1e0df4a68e39529a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03165",
    "kind": "arxiv",
    "version": 2
  }
}