Pith Number

pith:OPB6G4BK

pith:2018:OPB6G4BKHIVQSVLIHLFTMEDTRZ

not attested not anchored not stored refs pending

Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Eliza Jab{\l}o\'nska, Jaros{\l}aw Swaczyna, Szymon G\l\k{a}b, Taras Banakh

arxiv:1803.06712 v4 · 2018-03-18 · 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{OPB6G4BKHIVQSVLIHLFTMEDTRZ}

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.

Cited by

1 paper in Pith

Cardinal invariants of Haar null and Haar meager sets

Receipt and verification

First computed	2026-07-05T03:26:55.811467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c3e3702a3a2b0955683acb3610738e40b37983919326b398376987c607d2c9

Aliases

arxiv: 1803.06712 · arxiv_version: 1803.06712v4 · doi: 10.48550/arxiv.1803.06712 · pith_short_12: OPB6G4BKHIVQ · pith_short_16: OPB6G4BKHIVQSVLI · pith_short_8: OPB6G4BK

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/OPB6G4BKHIVQSVLIHLFTMEDTRZ \
  | 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: 73c3e3702a3a2b0955683acb3610738e40b37983919326b398376987c607d2c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d358a6fb83ad31259c9bcf78c8cc29ab348ca169f8a2ffaae72ef0a2da33fb2d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-03-18T18:46:48Z",
    "title_canon_sha256": "d5e61f29d4fb199efc57fa5040596b5c27f65f48c5562f121f38fd246c1f514a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06712",
    "kind": "arxiv",
    "version": 4
  }
}