Pith Number

pith:HJLUT3ON

pith:2016:HJLUT3ONWNGLNCH7XRGMJYGHEP

not attested not anchored not stored refs pending

The homotopy types of the posets of p-subgroups of a finite group

Elias Gabriel Minian, Kevin Ivan Piterman

arxiv:1612.04302 v1 · 2016-12-13 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJLUT3ONWNGLNCH7XRGMJYGHEP}

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	2026-05-18T00:55:04.876655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5749edcdb34cb688ffbc4cc4e0c723d79eacc29c440229035158678f7fcb98

Aliases

arxiv: 1612.04302 · arxiv_version: 1612.04302v1 · doi: 10.48550/arxiv.1612.04302 · pith_short_12: HJLUT3ONWNGL · pith_short_16: HJLUT3ONWNGLNCH7 · pith_short_8: HJLUT3ON

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/HJLUT3ONWNGLNCH7XRGMJYGHEP \
  | 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: 3a5749edcdb34cb688ffbc4cc4e0c723d79eacc29c440229035158678f7fcb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff24d3c0577a674583cd3bfd7dc950efa226c9b575a5ac7ebea460f76b85ca3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-13T18:03:54Z",
    "title_canon_sha256": "f4c8a657f1aa16b278d97c4f2b62bb70270c7ec745e241b47e00205c92e26cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04302",
    "kind": "arxiv",
    "version": 1
  }
}