Pith Number

pith:GS3JTI52

pith:2006:GS3JTI526O5ZIKE3F7KJ7BDLAV

not attested not anchored not stored refs pending

$H^{\infty}$ functional calculus and square functions on noncommutative $L^p$-spaces

Christian Le Merdy, Marius Junge, Quanhua Xu

arxiv:math/0601645 v1 · 2006-01-26 · 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{GS3JTI526O5ZIKE3F7KJ7BDLAV}

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	2026-07-04T14:52:51.534006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b699a3baf3bb94289b2fd49f846b055884a2efed957d0ce8b4a29270f22086

Aliases

arxiv: math/0601645 · arxiv_version: math/0601645v1 · doi: 10.48550/arxiv.math/0601645 · pith_short_12: GS3JTI526O5Z · pith_short_16: GS3JTI526O5ZIKE3 · pith_short_8: GS3JTI52

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/GS3JTI526O5ZIKE3F7KJ7BDLAV \
  | 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: 34b699a3baf3bb94289b2fd49f846b055884a2efed957d0ce8b4a29270f22086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51dea948136dec6eb818558e1dd208c6c210a7326c364f1e3913f70a1ed5fbc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-01-26T16:21:07Z",
    "title_canon_sha256": "11dc9cb547d2d36efb807733021aa660470643b43d24ee7a907498584b0769f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601645",
    "kind": "arxiv",
    "version": 1
  }
}