Pith Number

pith:KWEEU4E7

pith:2018:KWEEU4E732ZGOQCJ5KCR3DIKSP

not attested not anchored not stored refs pending

Embedding Banach spaces into the space of bounded functions with countable support

Tomasz Kania, William B. Johnson

arxiv:1807.05239 v1 · 2018-07-13 · 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{KWEEU4E732ZGOQCJ5KCR3DIKSP}

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	2026-05-18T00:10:44.045195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55884a709fdeb2674049ea851d8d0a93e7b2525424cb193a4ea39a2e8f9641d7

Aliases

arxiv: 1807.05239 · arxiv_version: 1807.05239v1 · doi: 10.48550/arxiv.1807.05239 · pith_short_12: KWEEU4E732ZG · pith_short_16: KWEEU4E732ZGOQCJ · pith_short_8: KWEEU4E7

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/KWEEU4E732ZGOQCJ5KCR3DIKSP \
  | 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: 55884a709fdeb2674049ea851d8d0a93e7b2525424cb193a4ea39a2e8f9641d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6244c613cdfe78b8363f2762379a79019e1902bedce57673db2c6ab5fe4cc6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-13T18:04:14Z",
    "title_canon_sha256": "6e05e6225d39952defa48085c0a3e850a222eb09ebbfd2728e29beb7a74a55e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05239",
    "kind": "arxiv",
    "version": 1
  }
}