Pith Number

pith:ETXNK5QJ

pith:2024:ETXNK5QJEYHN5VTUGNTLS3WU5B

not attested not anchored not stored refs pending

A missing theorem on dual spaces

David P. Blecher

arxiv:2405.01133 v3 · 2024-05-02 · math.FA · math.CA · 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{ETXNK5QJEYHN5VTUGNTLS3WU5B}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T08:17:32.775303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24eed57609260eded6743366b96ed4e85fbe90967bfc31120023f008853166de

Aliases

arxiv: 2405.01133 · arxiv_version: 2405.01133v3 · doi: 10.48550/arxiv.2405.01133 · pith_short_12: ETXNK5QJEYHN · pith_short_16: ETXNK5QJEYHN5VTU · pith_short_8: ETXNK5QJ

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/ETXNK5QJEYHN5VTUGNTLS3WU5B \
  | 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: 24eed57609260eded6743366b96ed4e85fbe90967bfc31120023f008853166de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf5efd30b089828a03bf6d40bce6acc017f61576c68d8f6e195014833cdff4d",
    "cross_cats_sorted": [
      "math.CA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-05-02T09:49:52Z",
    "title_canon_sha256": "35592bfd5c70c600f3a95e7d67a2af778b0085caa8ab5648c63bcb257f7bd43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.01133",
    "kind": "arxiv",
    "version": 3
  }
}