Pith Number

pith:LA4QOY4Q

pith:2023:LA4QOY4QYB4JSJ5YE7RTELL6NC

not attested not anchored not stored refs pending

Dual and Generalized Dual Cones in Banach Spaces

Akhtar A. Khan, Dezhou Kong, Jinlu Li

arxiv:2303.00071 v2 · 2023-02-28 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA4QOY4QYB4JSJ5YE7RTELL6NC}

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	2026-07-05T05:48:53.387737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5839076390c0789927b827e3322d7e68b6d9d8c7ba0ff34353766e5499e076f5

Aliases

arxiv: 2303.00071 · arxiv_version: 2303.00071v2 · doi: 10.48550/arxiv.2303.00071 · pith_short_12: LA4QOY4QYB4J · pith_short_16: LA4QOY4QYB4JSJ5Y · pith_short_8: LA4QOY4Q

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/LA4QOY4QYB4JSJ5YE7RTELL6NC \
  | 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: 5839076390c0789927b827e3322d7e68b6d9d8c7ba0ff34353766e5499e076f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baad6d39593cc9aa0fe2f0dcd0e718b2829887d9fd3c87b3d9c05faa74d45d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-02-28T20:34:16Z",
    "title_canon_sha256": "1cf7d9fca30d65d179fc271cc08db8e28247bd395bc9f344f42810bd6339248d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00071",
    "kind": "arxiv",
    "version": 2
  }
}