Pith Number

pith:6QMIY77H

pith:1993:6QMIY77H2LRNBDJQCETVYFKLW4

not attested not anchored not stored refs pending

Bilinear forms on exact operator spaces and B(H)\otimes B(H)

Gilles Pisier, Marius Junge

arxiv:math/9308208 v1 · 1993-08-24 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QMIY77H2LRNBDJQCETVYFKLW4}

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	2026-05-18T01:05:51.998747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4188c7fe7d2e2d08d3011275c154bb702adec9dcc0fccab7c5d3be711c0f362

Aliases

arxiv: math/9308208 · arxiv_version: math/9308208v1 · doi: 10.48550/arxiv.math/9308208 · pith_short_12: 6QMIY77H2LRN · pith_short_16: 6QMIY77H2LRNBDJQ · pith_short_8: 6QMIY77H

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/6QMIY77H2LRNBDJQCETVYFKLW4 \
  | 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: f4188c7fe7d2e2d08d3011275c154bb702adec9dcc0fccab7c5d3be711c0f362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17133b10c21beab3da8fdfccb0c047848467509900dabfa95005193e2bb4b92d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-08-24T18:14:54Z",
    "title_canon_sha256": "b75b01a586c9b68c39258af46188cd8ce2fbd6c17bd462795d133fbd8db980f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9308208",
    "kind": "arxiv",
    "version": 1
  }
}