Pith Number

pith:VZERCG4O

pith:2010:VZERCG4ORH5VV6BLZZFPPB7ZYP

not attested not anchored not stored refs pending

Detecting topological groups which are (locally) homeomorphic to LF-spaces

D. Repovs, K. Mine, K. Sakai, T. Banakh, T. Yagasaki

arxiv:1004.0305 v4 · 2010-04-02 · math.GR · math.FA · math.GN · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZERCG4ORH5VV6BLZZFPPB7ZYP}

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	2026-05-18T03:08:14.968756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae49111b8e89fb5af82bce4af787f9c3e588a2baf407094e00853e42fab7cc7a

Aliases

arxiv: 1004.0305 · arxiv_version: 1004.0305v4 · doi: 10.48550/arxiv.1004.0305 · pith_short_12: VZERCG4ORH5V · pith_short_16: VZERCG4ORH5VV6BL · pith_short_8: VZERCG4O

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/VZERCG4ORH5VV6BLZZFPPB7ZYP \
  | 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: ae49111b8e89fb5af82bce4af787f9c3e588a2baf407094e00853e42fab7cc7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e0a73b3cd8366a6f9c0ec0ba0d1a96ea0a7f66355ee6155924c7cc821ab14e",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-04-02T09:28:50Z",
    "title_canon_sha256": "612402fb59b822bf1410bdbf98b42c670849c7934fee22d4957d217a179b4e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0305",
    "kind": "arxiv",
    "version": 4
  }
}