Pith Number

pith:HVCOWQQE

pith:2020:HVCOWQQEA3XDYIPORDRFQQEJYP

not attested not anchored not stored refs pending

On finiteness of verbal subgroups

Jo\~ao Azevedo, Pavel Shumyatsky

arxiv:2009.10121 v2 · 2020-09-21 · 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{HVCOWQQEA3XDYIPORDRFQQEJYP}

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	2026-07-05T03:28:35.089447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d44eb420406ee3c21ee88e2584089c3c393f0aae52b66fd1e580d674b049f8c

Aliases

arxiv: 2009.10121 · arxiv_version: 2009.10121v2 · doi: 10.48550/arxiv.2009.10121 · pith_short_12: HVCOWQQEA3XD · pith_short_16: HVCOWQQEA3XDYIPO · pith_short_8: HVCOWQQE

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/HVCOWQQEA3XDYIPORDRFQQEJYP \
  | 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: 3d44eb420406ee3c21ee88e2584089c3c393f0aae52b66fd1e580d674b049f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c7f917aa13a06619b86aacd4051f98787584f1160e326214c35461024feebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-09-21T18:24:30Z",
    "title_canon_sha256": "121657ed62b1771ab0fd20c2d6757aeba5851296a82781665bf02b62858fbea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10121",
    "kind": "arxiv",
    "version": 2
  }
}