Pith Number

pith:FCRSP3BJ

pith:2009:FCRSP3BJUDDQJ3ZGOZC7QA2P4E

not attested not anchored not stored refs pending

Direct limit topologies in the categories of topological groups and of uniform spaces

Dusan Repovs, Taras Banakh

arxiv:0911.3985 v2 · 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{FCRSP3BJUDDQJ3ZGOZC7QA2P4E}

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	2026-05-18T04:01:39.811402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a327ec29a0c704ef267645f8034fe11776e9b479e807bca11d324232f01c33

Aliases

arxiv: 0911.3985 · arxiv_version: 0911.3985v2 · doi: 10.48550/arxiv.0911.3985 · pith_short_12: FCRSP3BJUDDQ · pith_short_16: FCRSP3BJUDDQJ3ZG · pith_short_8: FCRSP3BJ

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/FCRSP3BJUDDQJ3ZGOZC7QA2P4E \
  | 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: 28a327ec29a0c704ef267645f8034fe11776e9b479e807bca11d324232f01c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65e80006ccd425d9d9e38136e13a93fb2a7f4ba2fb1d8e2260fa5276faf49c6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-11-20T07:52:21Z",
    "title_canon_sha256": "b1a7003811c620ebf03ed4ffa0bac0a4969bceb69377895aadaedc1745c90f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3985",
    "kind": "arxiv",
    "version": 2
  }
}