Pith Number

pith:Q4JGH23Y

pith:2015:Q4JGH23YJA3NLTBARGGNVOKJKF

not attested not anchored not stored refs pending

Separable determination of (generalized-)lushness

Marek Cuth

arxiv:1507.05709 v3 · 2015-07-21 · 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{Q4JGH23YJA3NLTBARGGNVOKJKF}

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	2026-05-18T01:09:12.692790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871263eb784836d5cc20898cdab9495178201a413813de308704c3a5a962d27c

Aliases

arxiv: 1507.05709 · arxiv_version: 1507.05709v3 · doi: 10.48550/arxiv.1507.05709 · pith_short_12: Q4JGH23YJA3N · pith_short_16: Q4JGH23YJA3NLTBA · pith_short_8: Q4JGH23Y

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/Q4JGH23YJA3NLTBARGGNVOKJKF \
  | 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: 871263eb784836d5cc20898cdab9495178201a413813de308704c3a5a962d27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c3f59e637c3fae9ae74c3b746f3733fda1fad3afe39d7d0483aa7b0a6100dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-21T05:03:50Z",
    "title_canon_sha256": "45e864e92d90e4ef5e0dc3e8fe11e1c34d1e98611aa5a3a9024ea5aeea0e7988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05709",
    "kind": "arxiv",
    "version": 3
  }
}