Pith Number

pith:HFRFWWGS

pith:2017:HFRFWWGSIJ53ZLYCJCY4RWQQ3Y

not attested not anchored not stored refs pending

Maximally almost periodic groups and respecting properties

Saak Gabriyelyan

arxiv:1712.05521 v4 · 2017-12-15 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFRFWWGSIJ53ZLYCJCY4RWQQ3Y}

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	2026-05-18T00:19:16.668609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39625b58d2427bbcaf0248b1c8da10de3c8318d980dced1aff71c3c1fb99d250

Aliases

arxiv: 1712.05521 · arxiv_version: 1712.05521v4 · doi: 10.48550/arxiv.1712.05521 · pith_short_12: HFRFWWGSIJ53 · pith_short_16: HFRFWWGSIJ53ZLYC · pith_short_8: HFRFWWGS

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/HFRFWWGSIJ53ZLYCJCY4RWQQ3Y \
  | 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: 39625b58d2427bbcaf0248b1c8da10de3c8318d980dced1aff71c3c1fb99d250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ce84b865340d5b00b91d608a7da4676af3b68eb3a66d9d0a779e8ea098976c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-12-15T04:03:54Z",
    "title_canon_sha256": "869675083adc521383c499e77c363d9f21f4cd6197b3ecab1fac4a944ec5ad9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05521",
    "kind": "arxiv",
    "version": 4
  }
}