Pith Number

pith:5F2R7MPA

pith:2011:5F2R7MPAHMA3KZ6ICJYQPJOGNS

not attested not anchored not stored refs pending

On Polynilpotent Multipliers of Free Nilpotent Groups

Behrooz Mashayekhy, Mohsen Parvizi

arxiv:1103.5159 v1 · 2011-03-26 · 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{5F2R7MPAHMA3KZ6ICJYQPJOGNS}

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	2026-05-18T04:25:38.521081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9751fb1e03b01b567c8127107a5c66cb49adb8464dad33e5ac7458250a1e6c1

Aliases

arxiv: 1103.5159 · arxiv_version: 1103.5159v1 · doi: 10.48550/arxiv.1103.5159 · pith_short_12: 5F2R7MPAHMA3 · pith_short_16: 5F2R7MPAHMA3KZ6I · pith_short_8: 5F2R7MPA

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/5F2R7MPAHMA3KZ6ICJYQPJOGNS \
  | 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: e9751fb1e03b01b567c8127107a5c66cb49adb8464dad33e5ac7458250a1e6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dac44ae8a0156bb241f58a38164c8d1b155b3e16a89e2f0817493a031fd889b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-26T20:23:42Z",
    "title_canon_sha256": "473b2a4b36b3128fe847b0313ab3ebd31d840132622b8ae0f31371b8e361cc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5159",
    "kind": "arxiv",
    "version": 1
  }
}