Pith Number

pith:D2JAZ3MT

pith:2014:D2JAZ3MTJDJRKS2JEMBTF42MOI

not attested not anchored not stored refs pending

CB-norm estimates for maps between noncommutative $L_p$-spaces and quantum channel theory

Carlos Palazuelos, Marius Junge

arxiv:1407.7684 v1 · 2014-07-29 · math.OA · math.FA · 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{D2JAZ3MTJDJRKS2JEMBTF42MOI}

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	2026-05-18T02:46:22.038582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e920ced9348d3154b49230332f34c7216d604f49a2c9e08546a741d0864a3f8

Aliases

arxiv: 1407.7684 · arxiv_version: 1407.7684v1 · doi: 10.48550/arxiv.1407.7684 · pith_short_12: D2JAZ3MTJDJR · pith_short_16: D2JAZ3MTJDJRKS2J · pith_short_8: D2JAZ3MT

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/D2JAZ3MTJDJRKS2JEMBTF42MOI \
  | 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: 1e920ced9348d3154b49230332f34c7216d604f49a2c9e08546a741d0864a3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac70c145b8303a85b1f4269387de861cf907fd376832364ae59027931a5d48e9",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-29T10:22:46Z",
    "title_canon_sha256": "b988a3d5f67f1df024145ebd103051f38b6dc7d65cc4e39dfa55dd8d337c1a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7684",
    "kind": "arxiv",
    "version": 1
  }
}