Pith Number

pith:CLOU7U4S

pith:2009:CLOU7U4SNAGZCVGEKQBMGTUI2V

not attested not anchored not stored refs pending

Characterizing meager paratopological groups

A.Ravsky, I.Guran, T.Banakh

arxiv:0908.2225 v2 · 2009-08-16 · 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{CLOU7U4SNAGZCVGEKQBMGTUI2V}

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	2026-05-18T01:28:22.168022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dd4fd392680d9154c45402c34e88d57c751d3bf7f15d1a98ef207bb217fc2b

Aliases

arxiv: 0908.2225 · arxiv_version: 0908.2225v2 · doi: 10.48550/arxiv.0908.2225 · pith_short_12: CLOU7U4SNAGZ · pith_short_16: CLOU7U4SNAGZCVGE · pith_short_8: CLOU7U4S

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/CLOU7U4SNAGZCVGEKQBMGTUI2V \
  | 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: 12dd4fd392680d9154c45402c34e88d57c751d3bf7f15d1a98ef207bb217fc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f532ca8c16b02cbdc4a3cc309a59df5a5af7fdcb24750896c0e9c1944bfa4e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-08-16T09:23:26Z",
    "title_canon_sha256": "6dde344006f05d48e14464a538394e0e98a55bc86546a89a7d0fcdb8f58d8636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2225",
    "kind": "arxiv",
    "version": 2
  }
}