Pith Number

pith:HAL7UJZQ

pith:2011:HAL7UJZQ5KRXWY4JM2E7ZA4JU5

not attested not anchored not stored refs pending

The Automorphism Group of p-Central p-Groups

Anitha Thillaisundaram

arxiv:1109.5277 v1 · 2011-09-24 · 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{HAL7UJZQ5KRXWY4JM2E7ZA4JU5}

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	2026-05-18T04:12:20.155097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3817fa2730eaa37b63896689fc8389a74e71e1fcb7c93edd78e1962e5d891ff5

Aliases

arxiv: 1109.5277 · arxiv_version: 1109.5277v1 · doi: 10.48550/arxiv.1109.5277 · pith_short_12: HAL7UJZQ5KRX · pith_short_16: HAL7UJZQ5KRXWY4J · pith_short_8: HAL7UJZQ

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/HAL7UJZQ5KRXWY4JM2E7ZA4JU5 \
  | 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: 3817fa2730eaa37b63896689fc8389a74e71e1fcb7c93edd78e1962e5d891ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bca6136d4f946563f5d4d75e644674c3a0e1215e14c4c3322e42a2b03c4db90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-24T15:45:47Z",
    "title_canon_sha256": "ef8076021984835cb52820093135cd6c6f8c43d5ac688405049742c11dd15032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5277",
    "kind": "arxiv",
    "version": 1
  }
}