Pith Number

pith:7CDCL5FG

pith:2011:7CDCL5FGUDWID3JIF2FP4VU4EI

not attested not anchored not stored refs pending

On separably injective Banach spaces and Corrigendum to "On separably injective Banach spaces" [Adv. Math. 234 (2013) 192--216]

Antonio Aviles, Felix Cabello, Jesus M. F. Castillo, Manuel Gonzalez, Yolanda Moreno

arxiv:1103.6064 v2 · 2011-03-30 · 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{7CDCL5FGUDWID3JIF2FP4VU4EI}

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	2026-05-18T00:47:53.874341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88625f4a6a0ec81ed282e8afe569c223a4a481c4141194e48c0d25034e5e460

Aliases

arxiv: 1103.6064 · arxiv_version: 1103.6064v2 · doi: 10.48550/arxiv.1103.6064 · pith_short_12: 7CDCL5FGUDWI · pith_short_16: 7CDCL5FGUDWID3JI · pith_short_8: 7CDCL5FG

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/7CDCL5FGUDWID3JIF2FP4VU4EI \
  | 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: f88625f4a6a0ec81ed282e8afe569c223a4a481c4141194e48c0d25034e5e460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89f09d151b86638dfff12b9199d0248de16dc53ebce841752026c004d3e67e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-30T23:44:46Z",
    "title_canon_sha256": "72f2d0e5ff51cc34310c7d9d1a1f0acb0987d336957750a4203fd42bac1fd6bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6064",
    "kind": "arxiv",
    "version": 2
  }
}