Pith Number

pith:HXLNMHYK

pith:2005:HXLNMHYK34PGJRNVQXEPC62K25

not attested not anchored not stored refs pending

Almost maximally almost-periodic group topologies determined by T-sequences

G\'abor Luk\'acs

arxiv:math/0504003 v3 · 2005-03-31 · math.GN · 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{HXLNMHYK34PGJRNVQXEPC62K25}

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	2026-05-18T04:12:19.405633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd6d61f0adf1e64c5b585c8f17b4ad76331cd36baeac02be05baf1fea4be3ac

Aliases

arxiv: math/0504003 · arxiv_version: math/0504003v3 · doi: 10.48550/arxiv.math/0504003 · pith_short_12: HXLNMHYK34PG · pith_short_16: HXLNMHYK34PGJRNV · pith_short_8: HXLNMHYK

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/HXLNMHYK34PGJRNVQXEPC62K25 \
  | 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: 3dd6d61f0adf1e64c5b585c8f17b4ad76331cd36baeac02be05baf1fea4be3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ee342d288c913a44b6f99a4907ce0ee1d01b39f8c3c96168c310cd8d97dd69",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2005-03-31T23:33:44Z",
    "title_canon_sha256": "e762c4d5cdfe049f1481f0de1b41ed5f6c9f059e71edaa001a28d4e8fb90cc59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504003",
    "kind": "arxiv",
    "version": 3
  }
}