Pith Number

pith:R7ER6YPH

pith:2015:R7ER6YPHQTEEPVQIF6IFZDBWGA

not attested not anchored not stored refs pending

A finiteness condition on centralizers in locally nilpotent groups

Antonio Tortora, Gustavo A. Fernandez-Alcober, Leire Legarreta, Maria Tota

arxiv:1510.08251 v1 · 2015-10-28 · 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{R7ER6YPHQTEEPVQIF6IFZDBWGA}

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	2026-05-18T01:22:57.438712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc91f61e784c847d6082f905c8c36302108b1cb43edfdc852d561b6d6a11ff8

Aliases

arxiv: 1510.08251 · arxiv_version: 1510.08251v1 · doi: 10.48550/arxiv.1510.08251 · pith_short_12: R7ER6YPHQTEE · pith_short_16: R7ER6YPHQTEEPVQI · pith_short_8: R7ER6YPH

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/R7ER6YPHQTEEPVQIF6IFZDBWGA \
  | 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: 8fc91f61e784c847d6082f905c8c36302108b1cb43edfdc852d561b6d6a11ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1cbdb7f724f859bacdde39a660365d7d3363b43f239f5e8eae9441b9ef2285b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-28T10:37:09Z",
    "title_canon_sha256": "2a755bc9520e64325051150646df02c64a764a2ba664dc4c28659d147634c5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08251",
    "kind": "arxiv",
    "version": 1
  }
}