Pith Number

pith:VZRB5H5M

pith:2006:VZRB5H5M37NZBA6MNJSVAPRWW5

not attested not anchored not stored refs pending

Strict weak mixing of some C*-dynamical systems based on free shifts

Farrukh Mukhamedov, Francesco Fidaleo

arxiv:math/0612025 v1 · 2006-12-01 · math.OA · 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{VZRB5H5M37NZBA6MNJSVAPRWW5}

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	2026-05-18T01:38:23.497307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae621e9facdfdb9083cc6a65503e36b7654f00113d50b621b831d39673007e13

Aliases

arxiv: math/0612025 · arxiv_version: math/0612025v1 · doi: 10.48550/arxiv.math/0612025 · pith_short_12: VZRB5H5M37NZ · pith_short_16: VZRB5H5M37NZBA6M · pith_short_8: VZRB5H5M

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/VZRB5H5M37NZBA6MNJSVAPRWW5 \
  | 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: ae621e9facdfdb9083cc6a65503e36b7654f00113d50b621b831d39673007e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df310d0d4ce039bb5f087f62e7cb405da800ba930ba0fe5f0c1bbc1563003c7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-12-01T15:30:18Z",
    "title_canon_sha256": "16cecc54cbc3d0debe21b9b347b9fea9dc188cf69ac7ab96aafa52c5b883dd02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612025",
    "kind": "arxiv",
    "version": 1
  }
}