Pith Number

pith:36O7O3KY

pith:2015:36O7O3KY3VR4JTMTUSJYN4PS6W

not attested not anchored not stored refs pending

The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space

Bobby Wilson, David Bate, Marianna Cs\"ornyei

arxiv:1506.08431 v1 · 2015-06-28 · 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{36O7O3KY3VR4JTMTUSJYN4PS6W}

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	2026-05-18T00:05:40.070294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9df76d58dd63c4cd93a49386f1f2f5bf78885e20af5fa9ad8e0a6311935e78

Aliases

arxiv: 1506.08431 · arxiv_version: 1506.08431v1 · doi: 10.48550/arxiv.1506.08431 · pith_short_12: 36O7O3KY3VR4 · pith_short_16: 36O7O3KY3VR4JTMT · pith_short_8: 36O7O3KY

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/36O7O3KY3VR4JTMTUSJYN4PS6W \
  | 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: df9df76d58dd63c4cd93a49386f1f2f5bf78885e20af5fa9ad8e0a6311935e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f081cdcc413dcd68ec5b3310e7266e9f71db866893b0727f36f8910536435625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-28T18:12:32Z",
    "title_canon_sha256": "eb84d62ffda4ac15d328016f8dd18afe42b2b2c30de81bdb43018b418572e81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08431",
    "kind": "arxiv",
    "version": 1
  }
}