Pith Number

pith:7PANHDVF

pith:2016:7PANHDVFM5CLCWYFO2VFZJRK3X

not attested not anchored not stored refs pending

A Bourgain-like property of Banach spaces with no copies of $c_0$

A. P\'erez, M. Raja

arxiv:1603.08706 v1 · 2016-03-29 · 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{7PANHDVFM5CLCWYFO2VFZJRK3X}

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	2026-05-18T01:18:05.538882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc0d38ea56744b15b0576aa5ca62addc40bc185677ca16c862cab30fbaf2d78

Aliases

arxiv: 1603.08706 · arxiv_version: 1603.08706v1 · doi: 10.48550/arxiv.1603.08706 · pith_short_12: 7PANHDVFM5CL · pith_short_16: 7PANHDVFM5CLCWYF · pith_short_8: 7PANHDVF

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/7PANHDVFM5CLCWYFO2VFZJRK3X \
  | 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: fbc0d38ea56744b15b0576aa5ca62addc40bc185677ca16c862cab30fbaf2d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476fca8304e53fdcc4f381b2b22240e0d7b9e1ae864b5234c56821641641e3eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-29T10:06:30Z",
    "title_canon_sha256": "646fbb565554e5651963434b63fc53b0d550d6622fbe1865cd4cdaf1e37b6901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08706",
    "kind": "arxiv",
    "version": 1
  }
}