Pith Number

pith:PCPYJ5XW

pith:2016:PCPYJ5XWPRR26CGYVVVJ4VM3GD

not attested not anchored not stored refs pending

The Szlenk power type and tensor products of Banach spaces

Szymon Draga, Tomasz Kochanek

arxiv:1604.03461 v1 · 2016-04-12 · 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{PCPYJ5XWPRR26CGYVVVJ4VM3GD}

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	2026-05-18T01:17:13.475880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789f84f6f67c63af08d8ad6a9e559b30cbed5299a961c2b00977d28b634c152e

Aliases

arxiv: 1604.03461 · arxiv_version: 1604.03461v1 · doi: 10.48550/arxiv.1604.03461 · pith_short_12: PCPYJ5XWPRR2 · pith_short_16: PCPYJ5XWPRR26CGY · pith_short_8: PCPYJ5XW

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/PCPYJ5XWPRR26CGYVVVJ4VM3GD \
  | 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: 789f84f6f67c63af08d8ad6a9e559b30cbed5299a961c2b00977d28b634c152e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432a70bc54b8c08c2c552e57c34a98628ea6b76a144889100a3583780f1620cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-12T15:57:07Z",
    "title_canon_sha256": "010120c4b8b0cfcbeb9d70e28438fe3ed8e42f2bfd0cc739d2b4d853961c36ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03461",
    "kind": "arxiv",
    "version": 1
  }
}