Pith Number

pith:2UMJDQHG

pith:2014:2UMJDQHGR5VDNALGLI7I7MPW7N

not attested not anchored not stored refs pending

Viewing the Welch bound inequality from the kernel trick viewpoint

Liang Dai

arxiv:1403.5928 v3 · 2014-03-24 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UMJDQHGR5VDNALGLI7I7MPW7N}

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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	2026-05-18T02:55:03.561865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51891c0e68f6a3681665a3e8fb1f6fb7e560e8c7cfe9fdbbdb70219b9106f22

Aliases

arxiv: 1403.5928 · arxiv_version: 1403.5928v3 · doi: 10.48550/arxiv.1403.5928 · pith_short_12: 2UMJDQHGR5VD · pith_short_16: 2UMJDQHGR5VDNALG · pith_short_8: 2UMJDQHG

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/2UMJDQHGR5VDNALGLI7I7MPW7N \
  | 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: d51891c0e68f6a3681665a3e8fb1f6fb7e560e8c7cfe9fdbbdb70219b9106f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7eb9be4e418e8178da370a20c97a4a3a00f14869782d19d6c2e0a44e3ed3a6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-03-24T12:10:23Z",
    "title_canon_sha256": "72442e1d3716e204eb3251e678f8352591e0ac71c2c2b498d675538c09c3b4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5928",
    "kind": "arxiv",
    "version": 3
  }
}