Pith. sign in
Pith Number

pith:KUNQJVML

pith:2014:KUNQJVMLIXIOGZQC52LECCXEWA
not attested not anchored not stored refs pending

Boundaries and polyhedral Banach spaces

Richard J Smith, Stanimir Troyanski, Vladimir P Fonf

arxiv:1404.1185 v1 · 2014-04-04 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KUNQJVMLIXIOGZQC52LECCXEWA}

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 2026-07-05T04:31:09.508848Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

551b04d58b45d0e36602ee96410ae4b034abd54652cdadb5ae9af735202393eb

Aliases

arxiv: 1404.1185 · arxiv_version: 1404.1185v1 · doi: 10.48550/arxiv.1404.1185 · pith_short_12: KUNQJVMLIXIO · pith_short_16: KUNQJVMLIXIOGZQC · pith_short_8: KUNQJVML
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KUNQJVMLIXIOGZQC52LECCXEWA \
  | 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: 551b04d58b45d0e36602ee96410ae4b034abd54652cdadb5ae9af735202393eb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b2b2a56fd4206bf3e900212e9c0fffe2d4e9ee6e7abdf4437b84dacc3cfd9a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-04T08:52:47Z",
    "title_canon_sha256": "0f190ca2206aa74c68925da2885227535a0e64c1eb463ac839868629c87b561e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1185",
    "kind": "arxiv",
    "version": 1
  }
}