Pith Number

pith:3YQLFGQN

pith:2014:3YQLFGQNTP5EDFTWEBWVPIGYDV

not attested not anchored not stored refs pending

Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups

Alexander Fel'shtyn, Jang Hyun Jo, Jong Bum Lee

arxiv:1411.6360 v2 · 2014-11-24 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YQLFGQNTP5EDFTWEBWVPIGYDV}

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	2026-05-18T02:32:38.125709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de20b29a0d9bfa419676206d57a0d81d66fbb06f349ea21f0ba11ac3ab3a4647

Aliases

arxiv: 1411.6360 · arxiv_version: 1411.6360v2 · doi: 10.48550/arxiv.1411.6360 · pith_short_12: 3YQLFGQNTP5E · pith_short_16: 3YQLFGQNTP5EDFTW · pith_short_8: 3YQLFGQN

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/3YQLFGQNTP5EDFTWEBWVPIGYDV \
  | 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: de20b29a0d9bfa419676206d57a0d81d66fbb06f349ea21f0ba11ac3ab3a4647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f045a694c8ab083ef7903848e999746115e0806f79277805ad9e33ba6296108",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-24T06:54:18Z",
    "title_canon_sha256": "e35f4c86a4811bac346006ecb801dd6903ca7ccdce5ddb645d00e947eefcc176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6360",
    "kind": "arxiv",
    "version": 2
  }
}