Pith Number

pith:2NE6C7UH

pith:2023:2NE6C7UHYOSGU7PYU3PW7GK2IB

not attested not anchored not stored refs pending

Approximating Properties of Metric and Generalized Metric Projections in Uniformly Convex and Uniformly Smooth Banach Spaces

Akhtar A. Khan, Jinlu Li

arxiv:2303.03587 v1 · 2023-03-07 · 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{2NE6C7UHYOSGU7PYU3PW7GK2IB}

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	2026-07-05T05:48:56.449563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d349e17e87c3a46a7df8a6df6f995a405cecea5522044542a773011ea05c029b

Aliases

arxiv: 2303.03587 · arxiv_version: 2303.03587v1 · doi: 10.48550/arxiv.2303.03587 · pith_short_12: 2NE6C7UHYOSG · pith_short_16: 2NE6C7UHYOSGU7PY · pith_short_8: 2NE6C7UH

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/2NE6C7UHYOSGU7PYU3PW7GK2IB \
  | 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: d349e17e87c3a46a7df8a6df6f995a405cecea5522044542a773011ea05c029b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8398449dc2aa85bbcf7b8455d2f5ef62ee81282c71f773b80a9aee4334563a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-03-07T01:42:31Z",
    "title_canon_sha256": "641aacb073b696782c42e5f089e3d685e63dd9d4d60a9b1801087e7e6af0cd87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.03587",
    "kind": "arxiv",
    "version": 1
  }
}