Pith Number

pith:PYYX4URJ

pith:2020:PYYX4URJV2UXOCR3FVREF5Y3L5

not attested not anchored not stored refs pending

On uniform Hilbert Schmidt stability of groups

Alon Dogon, Danil Akhtiamov

arxiv:2010.10304 v2 · 2020-10-18 · 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{PYYX4URJV2UXOCR3FVREF5Y3L5}

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	2026-07-05T05:36:28.703746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e317e5229aea9770a3b2d6242f71b5f77a43981045cc578fb29ab0a1f4864a5

Aliases

arxiv: 2010.10304 · arxiv_version: 2010.10304v2 · doi: 10.48550/arxiv.2010.10304 · pith_short_12: PYYX4URJV2UX · pith_short_16: PYYX4URJV2UXOCR3 · pith_short_8: PYYX4URJ

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/PYYX4URJV2UXOCR3FVREF5Y3L5 \
  | 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: 7e317e5229aea9770a3b2d6242f71b5f77a43981045cc578fb29ab0a1f4864a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535320c671d9e4c992b62b91d85e6791a21572387e891395d6ab131dff746c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-10-18T21:11:24Z",
    "title_canon_sha256": "e8bb0b4f5627d5ce65ec1609865d8d77b443228540d7eb049f4a9198500b4641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10304",
    "kind": "arxiv",
    "version": 2
  }
}