Pith Number

pith:C6NXUK73

pith:2018:C6NXUK73ORWLRKYG5ZS5JFEZDR

not attested not anchored not stored refs pending

Ultrafilter limits of asymptotic density are not universally measurable

Joerg Brendle, Paul B. Larson

arxiv:1805.10713 v1 · 2018-05-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6NXUK73ORWLRKYG5ZS5JFEZDR}

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	2026-05-18T00:14:51.602860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179b7a2bfb746cb8ab06ee65d494991c4d8297d2fdda9d47d9e274c860e5e42e

Aliases

arxiv: 1805.10713 · arxiv_version: 1805.10713v1 · doi: 10.48550/arxiv.1805.10713 · pith_short_12: C6NXUK73ORWL · pith_short_16: C6NXUK73ORWLRKYG · pith_short_8: C6NXUK73

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/C6NXUK73ORWLRKYG5ZS5JFEZDR \
  | 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: 179b7a2bfb746cb8ab06ee65d494991c4d8297d2fdda9d47d9e274c860e5e42e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ae1565832e4861d47ee11b31aee6cccb2cfba63bedbab30089474d8a2f0905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-27T23:28:23Z",
    "title_canon_sha256": "cc4776279c0af3fe1975e0484062a14c8bdefe08be94d45dc5869b750cd48b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10713",
    "kind": "arxiv",
    "version": 1
  }
}