pith. sign in
Pith Number

pith:NOHIY7X4

pith:2013:NOHIY7X47UPF3FPMOLYTPMNARB
not attested not anchored not stored refs pending

Weak-star point of continuity property and Schauder bases

Gin\'es L\'opez P\'erez, Jos\'e A. Soler Arias

arxiv:1309.3862 v1 · 2013-09-16 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NOHIY7X47UPF3FPMOLYTPMNARB}

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 2026-05-18T03:13:12.110709Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6b8e8c7efcfd1e5d95ec72f137b1a08863ac3902682b3dd6e184459b44906929

Aliases

arxiv: 1309.3862 · arxiv_version: 1309.3862v1 · doi: 10.48550/arxiv.1309.3862 · pith_short_12: NOHIY7X47UPF · pith_short_16: NOHIY7X47UPF3FPM · pith_short_8: NOHIY7X4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NOHIY7X47UPF3FPMOLYTPMNARB \
  | 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: 6b8e8c7efcfd1e5d95ec72f137b1a08863ac3902682b3dd6e184459b44906929
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2866fc2415423274a67bf61952e87155bbc8e9490537f05d4285a9da7947d9c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-16T08:54:10Z",
    "title_canon_sha256": "93b91e7fb879da177b37f25eaff435880370cb42cf34da18df8a653eed50f409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3862",
    "kind": "arxiv",
    "version": 1
  }
}