Pith Number

pith:ER4FH62J

pith:2010:ER4FH62JNUTIIRTZTNEGWTKJP7

not attested not anchored not stored refs pending

On tensor products of weak mixing vector sequences and their applications to uniquely $E$-weak mixing $C^*$- dynamical systems

Farrukh Mukhamedov

arxiv:1009.0583 v3 · 2010-09-03 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER4FH62JNUTIIRTZTNEGWTKJP7}

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	2026-05-18T04:04:15.358853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247853fb496d268446799b486b4d497fe00b888716363c9daa8833b857233c6a

Aliases

arxiv: 1009.0583 · arxiv_version: 1009.0583v3 · doi: 10.48550/arxiv.1009.0583 · pith_short_12: ER4FH62JNUTI · pith_short_16: ER4FH62JNUTIIRTZ · pith_short_8: ER4FH62J

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/ER4FH62JNUTIIRTZTNEGWTKJP7 \
  | 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: 247853fb496d268446799b486b4d497fe00b888716363c9daa8833b857233c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0846f8a0704054206d655e628525fe1f441509329e46ab9307be64307b3b4e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-03T04:58:21Z",
    "title_canon_sha256": "cb9980902909487cd410f16a8bf7b04873c8fc118ecdfdbcd71b6f299d41e81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0583",
    "kind": "arxiv",
    "version": 3
  }
}