Pith Number

pith:5N6ISEY2

pith:2012:5N6ISEY26GII7XS46DROA3GY36

not attested not anchored not stored refs pending

A new isomorphic (\ell_1) predual not isomorphic to a complemented subspace of a (C(K)) space

Ioannis Gasparis

arxiv:1205.4317 v1 · 2012-05-19 · 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{5N6ISEY26GII7XS46DROA3GY36}

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	2026-05-18T02:57:53.553706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7c89131af1908fde5cf0e2e06cd8dfb070bce05334a8d66419beb4450c7199

Aliases

arxiv: 1205.4317 · arxiv_version: 1205.4317v1 · doi: 10.48550/arxiv.1205.4317 · pith_short_12: 5N6ISEY26GII · pith_short_16: 5N6ISEY26GII7XS4 · pith_short_8: 5N6ISEY2

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/5N6ISEY26GII7XS46DROA3GY36 \
  | 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: eb7c89131af1908fde5cf0e2e06cd8dfb070bce05334a8d66419beb4450c7199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d25c359a5a1b0e7e79443935b3f7f8eb7aac98663e7d662268908bf8f25d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-19T10:54:56Z",
    "title_canon_sha256": "7f6b96554a6135471e0353fb499821470c3e15a6c0b1fc9b739fc550860b2a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4317",
    "kind": "arxiv",
    "version": 1
  }
}