Pith Number

pith:PN5GO6AB

pith:2013:PN5GO6ABVBNWXQO3A5RFSXVXZ2

not attested not anchored not stored refs pending

On the Bounded Approximation Property in Banach spaces

Jes\'us M.F. Castillo, Yolanda Moreno

arxiv:1307.4383 v1 · 2013-07-16 · 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{PN5GO6ABVBNWXQO3A5RFSXVXZ2}

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	2026-05-18T03:18:18.985916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7a677801a85b6bc1db0762595eb7ceaac19956d395a05647b375e034b2eb9c

Aliases

arxiv: 1307.4383 · arxiv_version: 1307.4383v1 · doi: 10.48550/arxiv.1307.4383 · pith_short_12: PN5GO6ABVBNW · pith_short_16: PN5GO6ABVBNWXQO3 · pith_short_8: PN5GO6AB

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/PN5GO6ABVBNWXQO3A5RFSXVXZ2 \
  | 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: 7b7a677801a85b6bc1db0762595eb7ceaac19956d395a05647b375e034b2eb9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557d9635fd9488735cd38047b18f1e4ac52023d928d63e28d76de4a028591098",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-16T19:18:42Z",
    "title_canon_sha256": "f22b75a5cd084df30c7da54f600a8c192f7981d8b900734017ec665ad458ad82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4383",
    "kind": "arxiv",
    "version": 1
  }
}