Pith Number

pith:OKG56W32

pith:2012:OKG56W32X6WANJJQWMQWCTDXPI

not attested not anchored not stored refs pending

Duality between measure and category in uncountable locally compact abelian Polish groups

Rich\'ard Balka

arxiv:1203.5840 v1 · 2012-03-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKG56W32X6WANJJQWMQWCTDXPI}

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	2026-05-18T03:59:13.296978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728ddf5b7abfac06a530b321614c777a3742b8b1f2e5c28712090029f3f23929

Aliases

arxiv: 1203.5840 · arxiv_version: 1203.5840v1 · doi: 10.48550/arxiv.1203.5840 · pith_short_12: OKG56W32X6WA · pith_short_16: OKG56W32X6WANJJQ · pith_short_8: OKG56W32

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/OKG56W32X6WANJJQWMQWCTDXPI \
  | 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: 728ddf5b7abfac06a530b321614c777a3742b8b1f2e5c28712090029f3f23929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7a9e2682e47816d4609b1f48cd587a285d3130af7f7e6d8605e4d7fe591a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-26T23:21:42Z",
    "title_canon_sha256": "189e63553b8a9c326541825b55ab42f26afc6f1fb30c886c5c6fdfb4a5439f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5840",
    "kind": "arxiv",
    "version": 1
  }
}