Pith Number

pith:TA246DVQ

pith:2010:TA246DVQ6RS7LIRHSMVLKZRF3A

not attested not anchored not stored refs pending

Weak$^*$ closures and derived sets in dual Banach spaces

Mikhail I. Ostrovskii

arxiv:1003.5176 v1 · 2010-03-26 · 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{TA246DVQ6RS7LIRHSMVLKZRF3A}

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	2026-05-18T03:32:45.780524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9835cf0eb0f465f5a227932ab56625d82f78f6586dfe661829091bd636a104d7

Aliases

arxiv: 1003.5176 · arxiv_version: 1003.5176v1 · doi: 10.48550/arxiv.1003.5176 · pith_short_12: TA246DVQ6RS7 · pith_short_16: TA246DVQ6RS7LIRH · pith_short_8: TA246DVQ

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/TA246DVQ6RS7LIRHSMVLKZRF3A \
  | 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: 9835cf0eb0f465f5a227932ab56625d82f78f6586dfe661829091bd636a104d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb6e5cccd1b599d2f9f2cb1df0923eedf27c5befd01ab50f99132134e5d7e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-03-26T16:09:44Z",
    "title_canon_sha256": "d07973104004d9e0cadddb7ea0606f05370f2122eaaf1b8f76ca8af8f7592eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5176",
    "kind": "arxiv",
    "version": 1
  }
}