Pith Number

pith:AGZVJXWZ

pith:2014:AGZVJXWZXLKWZACG4MTRMWLP66

not attested not anchored not stored refs pending

Constructions of torsion-free countable, amenable, weakly mixing groups

Alexander Olshanskii, Rostislav Grigorchuk, Rostyslav Kravchenko

arxiv:1405.7605 v2 · 2014-05-29 · math.DS · 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{AGZVJXWZXLKWZACG4MTRMWLP66}

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	2026-05-18T01:11:38.878742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b354ded9bad56c8046e32716596ff79da396e6fce93d2b33148044ac92ab59

Aliases

arxiv: 1405.7605 · arxiv_version: 1405.7605v2 · doi: 10.48550/arxiv.1405.7605 · pith_short_12: AGZVJXWZXLKW · pith_short_16: AGZVJXWZXLKWZACG · pith_short_8: AGZVJXWZ

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/AGZVJXWZXLKWZACG4MTRMWLP66 \
  | 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: 01b354ded9bad56c8046e32716596ff79da396e6fce93d2b33148044ac92ab59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805ee26acc823834155fcf1fb06f5797e983e8a8231d3a6c18346d119bd28212",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-29T16:22:12Z",
    "title_canon_sha256": "99749b785dbdc6460356479572c36c0a97452e2cf62dd18cedbd878191d45c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7605",
    "kind": "arxiv",
    "version": 2
  }
}