Pith Number

pith:TJWK6PGI

pith:2015:TJWK6PGI6N2GWME65FWU2Q2IVG

not attested not anchored not stored refs pending

Nonmeasurable sets and unions with respect to selected ideals especially ideals defined by trees

Robert Ralowski, Szymon Zeberski

arxiv:1507.02496 v1 · 2015-07-09 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJWK6PGI6N2GWME65FWU2Q2IVG}

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	2026-05-18T01:37:06.551852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6caf3cc8f3746b309ee96d4d4348a9bb61ec70b18207bedaff0c48324e6394

Aliases

arxiv: 1507.02496 · arxiv_version: 1507.02496v1 · doi: 10.48550/arxiv.1507.02496 · pith_short_12: TJWK6PGI6N2G · pith_short_16: TJWK6PGI6N2GWME6 · pith_short_8: TJWK6PGI

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/TJWK6PGI6N2GWME65FWU2Q2IVG \
  | 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: 9a6caf3cc8f3746b309ee96d4d4348a9bb61ec70b18207bedaff0c48324e6394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df976292efe4a9fe36165c2ad7f51a0c74a3e7ef41054a4f4a29bdd5e78b0f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-07-09T13:16:47Z",
    "title_canon_sha256": "86ca2f951569d817676e65c4e3e6e63b9cf01530ba36dc5ef8d48dd3c5d18267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02496",
    "kind": "arxiv",
    "version": 1
  }
}