Pith Number

pith:OLOISEFK

pith:2005:OLOISEFKPARQMWHAAQSARH6ZC5

not attested not anchored not stored refs pending

Theory of Amalgamated Lp Spaces in Noncommutative Probability

Javier Parcet, Marius Junge

arxiv:math/0511406 v2 · 2005-11-16 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLOISEFKPARQMWHAAQSARH6ZC5}

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	2026-07-04T15:03:19.479331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72dc8910aa78230658e00424089fd9176bae0fd46de8997651570c559c2c3435

Aliases

arxiv: math/0511406 · arxiv_version: math/0511406v2 · doi: 10.48550/arxiv.math/0511406 · pith_short_12: OLOISEFKPARQ · pith_short_16: OLOISEFKPARQMWHA · pith_short_8: OLOISEFK

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/OLOISEFKPARQMWHAAQSARH6ZC5 \
  | 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: 72dc8910aa78230658e00424089fd9176bae0fd46de8997651570c559c2c3435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e92bd209ff2e9bdcabe6b9026daf1f8c4881d59bde56ddb895f88f5e3a19587",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-11-16T10:19:23Z",
    "title_canon_sha256": "ab4ed66b6ec14444ac7ca5cd59c4189429a4b3794f4bd95482bab78686046e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511406",
    "kind": "arxiv",
    "version": 2
  }
}