Pith Number

pith:VJCMHD3E

pith:2018:VJCMHD3ETPPQALZRE6E7CKTHJV

not attested not anchored not stored refs pending

Extensions of the Heisenberg group by two-parameter groups of dilations

Adisak Seesanea, Eckart Schulz

arxiv:1804.10305 v1 · 2018-04-26 · math.RT · 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{VJCMHD3ETPPQALZRE6E7CKTHJV}

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	2026-05-18T00:17:21.169224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa44c38f649bdf002f312789f12a674d7a84625804e64645fd46bca9246187df

Aliases

arxiv: 1804.10305 · arxiv_version: 1804.10305v1 · doi: 10.48550/arxiv.1804.10305 · pith_short_12: VJCMHD3ETPPQ · pith_short_16: VJCMHD3ETPPQALZR · pith_short_8: VJCMHD3E

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/VJCMHD3ETPPQALZRE6E7CKTHJV \
  | 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: aa44c38f649bdf002f312789f12a674d7a84625804e64645fd46bca9246187df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a3fdbaaf2663a419e786ccf7b9971535015cad3463a1bf84413cd58e1f5c15",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-04-26T22:57:29Z",
    "title_canon_sha256": "380077b8bc46ee3565470d0905c5f9c962276f1c06693ba142b50c72ac14bce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10305",
    "kind": "arxiv",
    "version": 1
  }
}