Pith Number

pith:WLJY3BG5

pith:2015:WLJY3BG57HB7J6NJY2FZARTYSK

not attested not anchored not stored refs pending

Optimal domain of $q$-concave operators and vector measure representation of $q$-concave Banach lattices

E.A. Sanchez Perez, O. Delgado

arxiv:1511.02337 v1 · 2015-11-07 · 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{WLJY3BG57HB7J6NJY2FZARTYSK}

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	2026-05-18T01:27:30.614725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d38d84ddf9c3f4f9a9c68b90467892adc6a4bfe41a46898b2ef681537aa92b

Aliases

arxiv: 1511.02337 · arxiv_version: 1511.02337v1 · doi: 10.48550/arxiv.1511.02337 · pith_short_12: WLJY3BG57HB7 · pith_short_16: WLJY3BG57HB7J6NJ · pith_short_8: WLJY3BG5

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/WLJY3BG57HB7J6NJY2FZARTYSK \
  | 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: b2d38d84ddf9c3f4f9a9c68b90467892adc6a4bfe41a46898b2ef681537aa92b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4886e9d07b23115e484be85e6fcc01b91b65df41a6beca233fc6eb622c922f3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-07T11:00:04Z",
    "title_canon_sha256": "b012efcc25d7edf865a65224d9b3aa285692c4a671796963bc8861c1e8461416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02337",
    "kind": "arxiv",
    "version": 1
  }
}