Pith Number

pith:NM42OGHZ

pith:2019:NM42OGHZLONSUTX73WP6FXBJAQ

not attested not anchored not stored refs pending

Closed ideals of operators on the Tsirelson and Schreier spaces

Kevin Beanland, Niels Jakob Laustsen, Tomasz Kania

arxiv:1907.10645 v2 · 2019-07-24 · 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{NM42OGHZLONSUTX73WP6FXBJAQ}

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	2026-07-05T00:54:29.848282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b39a718f95b9b2a4effdd9fe2dc29043832d234f9e4134bd044c632f3ac8096

Aliases

arxiv: 1907.10645 · arxiv_version: 1907.10645v2 · doi: 10.48550/arxiv.1907.10645 · pith_short_12: NM42OGHZLONS · pith_short_16: NM42OGHZLONSUTX7 · pith_short_8: NM42OGHZ

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/NM42OGHZLONSUTX73WP6FXBJAQ \
  | 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: 6b39a718f95b9b2a4effdd9fe2dc29043832d234f9e4134bd044c632f3ac8096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9495ab2b5199f86fe3bc382749397e164f17310deb752e23ada9c95271ffdeec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-24T18:15:41Z",
    "title_canon_sha256": "824d4ad69d26a1f44f37f4553d6554823b9c3c630547202d745cd43f9ced54fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10645",
    "kind": "arxiv",
    "version": 2
  }
}