Pith Number

pith:4I55EDUX

pith:2015:4I55EDUXOYWD64N7STKRKPQ4LJ

not attested not anchored not stored refs pending

$H$-closed quasitopological groups

Alex Ravsky, Oleg Gutik, Serhiy Bardyla

arxiv:1506.08320 v4 · 2015-06-27 · 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{4I55EDUXOYWD64N7STKRKPQ4LJ}

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	2026-05-18T00:54:11.000901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23bd20e97762c3f71bf94d5153e1c5a672c9284e4db17a337b4e7b630598cf5

Aliases

arxiv: 1506.08320 · arxiv_version: 1506.08320v4 · doi: 10.48550/arxiv.1506.08320 · pith_short_12: 4I55EDUXOYWD · pith_short_16: 4I55EDUXOYWD64N7 · pith_short_8: 4I55EDUX

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/4I55EDUXOYWD64N7STKRKPQ4LJ \
  | 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: e23bd20e97762c3f71bf94d5153e1c5a672c9284e4db17a337b4e7b630598cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc770771ea8cb1bbd9ed89ffc7b54e223c4afa3ec96288872b26e2076b6578d4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-06-27T19:13:08Z",
    "title_canon_sha256": "6fe53dc3ab2c0ac1d8df44dc6732bdfb51e4c181d42092a27b3f7095967cdccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08320",
    "kind": "arxiv",
    "version": 4
  }
}