pith. sign in
Pith Number

pith:CKYDRP74

pith:2010:CKYDRP747HLJABJ5OOB2APS2SK
not attested not anchored not stored refs pending

Compactness in Banach space theory - selected problems

Antonio Avil\'es, Ond\v{r}ej F.K. Kalenda

arxiv:1005.4303 v1 · 2010-05-24 · math.FA · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CKYDRP747HLJABJ5OOB2APS2SK}

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 2026-05-18T04:36:59.262659Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12b038bffcf9d690053d7383a03e5a9281694bef2eb04af24588a12dde965b5e

Aliases

arxiv: 1005.4303 · arxiv_version: 1005.4303v1 · doi: 10.48550/arxiv.1005.4303 · pith_short_12: CKYDRP747HLJ · pith_short_16: CKYDRP747HLJABJ5 · pith_short_8: CKYDRP74
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CKYDRP747HLJABJ5OOB2APS2SK \
  | 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: 12b038bffcf9d690053d7383a03e5a9281694bef2eb04af24588a12dde965b5e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed313753ec75fa482b10757a24667d04462c8abf26e5d814664429586085b1e0",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-24T10:51:00Z",
    "title_canon_sha256": "b0164ea4153649931a8145bb1c28f33758e179d6af244d334003d5f081de7a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4303",
    "kind": "arxiv",
    "version": 1
  }
}