Pith Number

pith:76CXYY7F

pith:2025:76CXYY7FNC6L54Y6RWVHDSYUPZ

not attested not anchored not stored refs pending

Residual Finiteness Growth in Two-Step Nilpotent Groups

Jonas Der\'e, Joren Matthys

arxiv:2505.21090 v1 · 2025-05-27 · 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{76CXYY7FNC6L54Y6RWVHDSYUPZ}

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	2026-07-05T11:10:23.500123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff857c63e568bcbef31e8daa71cb147e54a01006508b62d06a063a40d01b5247

Aliases

arxiv: 2505.21090 · arxiv_version: 2505.21090v1 · doi: 10.48550/arxiv.2505.21090 · pith_short_12: 76CXYY7FNC6L · pith_short_16: 76CXYY7FNC6L54Y6 · pith_short_8: 76CXYY7F

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/76CXYY7FNC6L54Y6RWVHDSYUPZ \
  | 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: ff857c63e568bcbef31e8daa71cb147e54a01006508b62d06a063a40d01b5247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e10420e706f461e79968722d338fc201a9b6e28693558010e23c6ac4cc8213",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-27T12:17:41Z",
    "title_canon_sha256": "04b4c982cccab85c1f1ce6fdce482dc87bb960b0094c54f72f9066766ff97c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21090",
    "kind": "arxiv",
    "version": 1
  }
}