Pith Number

pith:GS24UY42

pith:2008:GS24UY42WUVISJUDJ2DKQL6AC2

not attested not anchored not stored refs pending

A matrix interpolation between classical and free max operations: I. The univariate case

CMAP), Florent Benaych-Georges (PMA, Thierry Cabanal-Duvillard (MAP5)

arxiv:0806.3686 v3 · 2008-06-23 · 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{GS24UY42WUVISJUDJ2DKQL6AC2}

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	2026-05-18T04:12:34.209431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b5ca639ab52a8926834e86a82fc0169b207c981abbdd630c9953b57f33c5da

Aliases

arxiv: 0806.3686 · arxiv_version: 0806.3686v3 · doi: 10.48550/arxiv.0806.3686 · pith_short_12: GS24UY42WUVI · pith_short_16: GS24UY42WUVISJUD · pith_short_8: GS24UY42

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/GS24UY42WUVISJUDJ2DKQL6AC2 \
  | 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: 34b5ca639ab52a8926834e86a82fc0169b207c981abbdd630c9953b57f33c5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef5212abb4b0fd175f13d16655d730afc8ed64917170de953304f2a3e102b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-06-23T14:22:55Z",
    "title_canon_sha256": "2b08b9d9c661d45f806d14e5c633626b640f137604d255b1c676c1a328216b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3686",
    "kind": "arxiv",
    "version": 3
  }
}