Pith Number

pith:64Y5UB7C

pith:2018:64Y5UB7CSUQ46WRMKOYUGBZRKP

not attested not anchored not stored refs pending

Maximal subgroup growth of some metabelian groups

Andrew James Kelley

arxiv:1807.03423 v1 · 2018-07-09 · 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{64Y5UB7CSUQ46WRMKOYUGBZRKP}

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	2026-05-18T00:11:10.478511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f731da07e29521cf5a2c53b143073153df7dc6ec951c5aa747fd78a2c7209dbf

Aliases

arxiv: 1807.03423 · arxiv_version: 1807.03423v1 · doi: 10.48550/arxiv.1807.03423 · pith_short_12: 64Y5UB7CSUQ4 · pith_short_16: 64Y5UB7CSUQ46WRM · pith_short_8: 64Y5UB7C

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/64Y5UB7CSUQ46WRMKOYUGBZRKP \
  | 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: f731da07e29521cf5a2c53b143073153df7dc6ec951c5aa747fd78a2c7209dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7068fa979b7f12fe387a7c151027dac46fd65f39d464908f86e1e4c95d526efd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-09T23:42:22Z",
    "title_canon_sha256": "5c81b99b373bce2a90684da3cbb92e143845f2e3b82730c5107334c2a4be1c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03423",
    "kind": "arxiv",
    "version": 1
  }
}