Pith Number

pith:LAA6C2GF

pith:2001:LAA6C2GFJJLYF5MVDORZ47CFZ5

not attested not anchored not stored refs pending

Maximization of capacity and p-norms for some product channels

C. King

arxiv:quant-ph/0103086 v1 · 2001-03-15 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAA6C2GFJJLYF5MVDORZ47CFZ5}

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	2026-05-18T01:38:02.794881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5801e168c54a5782f5951ba39e7c45cf6993a301b7fbf8ff10cea4a066a0f523

Aliases

arxiv: quant-ph/0103086 · arxiv_version: quant-ph/0103086v1 · doi: 10.48550/arxiv.quant-ph/0103086 · pith_short_12: LAA6C2GFJJLY · pith_short_16: LAA6C2GFJJLYF5MV · pith_short_8: LAA6C2GF

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/LAA6C2GFJJLYF5MVDORZ47CFZ5 \
  | 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: 5801e168c54a5782f5951ba39e7c45cf6993a301b7fbf8ff10cea4a066a0f523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0075579cc7504e8a44db4a8360fcd2ad87fa026a92c543f17e21882da7db526",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-03-15T02:20:14Z",
    "title_canon_sha256": "ead9197187220e3bfb324b39a809eda6dd61b67141e20f8e908abc334c82d348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0103086",
    "kind": "arxiv",
    "version": 1
  }
}