Pith Number

pith:WEE6JFNB

pith:2009:WEE6JFNBXOUVEDFWW7GBKZQSVS

not attested not anchored not stored refs pending

The topological structure of (homogeneous) spaces and groups with countable cs*-character

Lyubomyr Zdomskyy, Taras Banakh

arxiv:0911.4075 v1 · 2009-11-20 · 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{WEE6JFNBXOUVEDFWW7GBKZQSVS}

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	2026-05-18T04:15:04.685022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b109e495a1bba9520cb6b7cc156612ac8b82ecf2d3a36a891aa10c8d12b27faa

Aliases

arxiv: 0911.4075 · arxiv_version: 0911.4075v1 · doi: 10.48550/arxiv.0911.4075 · pith_short_12: WEE6JFNBXOUV · pith_short_16: WEE6JFNBXOUVEDFW · pith_short_8: WEE6JFNB

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/WEE6JFNBXOUVEDFWW7GBKZQSVS \
  | 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: b109e495a1bba9520cb6b7cc156612ac8b82ecf2d3a36a891aa10c8d12b27faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d05798a8f775838b99aeb2311b028068c5116de7922394a642d5688832e38d0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-11-20T16:28:31Z",
    "title_canon_sha256": "925ccd50c85a45e7e51f75dd852fc79a68c77f4a81b76e6799861e21ca7c2431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4075",
    "kind": "arxiv",
    "version": 1
  }
}