Pith Number

pith:2OQD262D

pith:2019:2OQD262DC52PRGVS24AAEJYL6C

not attested not anchored not stored refs pending

Simply $sm$-factorizable (para)topological groups and their completions

Li-Hong Xie, Mikhail Tkachenko

arxiv:1908.08627 v2 · 2019-08-23 · 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{2OQD262DC52PRGVS24AAEJYL6C}

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	2026-07-05T00:39:32.279998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a03d7b431774f89ab2d70002270bf080d4e6f43c573c32c89d8f6d5e532d0e

Aliases

arxiv: 1908.08627 · arxiv_version: 1908.08627v2 · doi: 10.48550/arxiv.1908.08627 · pith_short_12: 2OQD262DC52P · pith_short_16: 2OQD262DC52PRGVS · pith_short_8: 2OQD262D

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/2OQD262DC52PRGVS24AAEJYL6C \
  | 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: d3a03d7b431774f89ab2d70002270bf080d4e6f43c573c32c89d8f6d5e532d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cfee7d98a7882585c0f970c9ce5f724b87882533ecdfa66a1518bacbb8b228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-08-23T00:44:30Z",
    "title_canon_sha256": "9dc3345ef184c2845422286ee690072d8c690c1908624331537c8603dfd9f5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08627",
    "kind": "arxiv",
    "version": 2
  }
}