Pith Number

pith:D3IM3VMS

pith:2019:D3IM3VMSZ55ZTUO3W22WS3JK7H

not attested not anchored not stored refs pending

Lower central words in finite $p$-groups

Iker de las Heras, Marta Morigi

arxiv:1907.11479 v1 · 2019-07-26 · 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{D3IM3VMSZ55ZTUO3W22WS3JK7H}

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	2026-05-17T23:39:28.970217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed0cdd592cf7b99d1dbb6b5696d2af9ef88e954928be12bda4b38665d95da49

Aliases

arxiv: 1907.11479 · arxiv_version: 1907.11479v1 · doi: 10.48550/arxiv.1907.11479 · pith_short_12: D3IM3VMSZ55Z · pith_short_16: D3IM3VMSZ55ZTUO3 · pith_short_8: D3IM3VMS

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/D3IM3VMSZ55ZTUO3W22WS3JK7H \
  | 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: 1ed0cdd592cf7b99d1dbb6b5696d2af9ef88e954928be12bda4b38665d95da49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466a80731b46de9f2278f853e17dd486049c38931717f6964e719f8b93a1f7fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-26T11:02:12Z",
    "title_canon_sha256": "b1ccff5f214941dc7ff77954f13170cce2e5876840276fff6f358ed32026a23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11479",
    "kind": "arxiv",
    "version": 1
  }
}