Pith Number

pith:47D2N4N7

pith:2016:47D2N4N7W4WEUOGL7KS7C3WFJ2

not attested not anchored not stored refs pending

There is no bound on sizes of indecomposable Banach spaces

Micha{\l} \'Swi\c{e}tek, Piotr Koszmider, Saharon Shelah

arxiv:1603.01753 v1 · 2016-03-05 · math.FA · math.GN · math.LO · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47D2N4N7W4WEUOGL7KS7C3WFJ2}

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	2026-05-18T01:19:34.868931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c7a6f1bfb72c4a38cbfaa5f16ec54e896589ef03674a1e3e142b775b80c981

Aliases

arxiv: 1603.01753 · arxiv_version: 1603.01753v1 · doi: 10.48550/arxiv.1603.01753 · pith_short_12: 47D2N4N7W4WE · pith_short_16: 47D2N4N7W4WEUOGL · pith_short_8: 47D2N4N7

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/47D2N4N7W4WEUOGL7KS7C3WFJ2 \
  | 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: e7c7a6f1bfb72c4a38cbfaa5f16ec54e896589ef03674a1e3e142b775b80c981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9b4b51d1952aa85d8ba3072c4f405120e500250dad94af55e1eb3c47b0cbf2",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-05T19:14:23Z",
    "title_canon_sha256": "be679faaac82c4977cdb26da4c9285e6a2ba02cc5d25813cffd436707e8b8e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01753",
    "kind": "arxiv",
    "version": 1
  }
}