Pith Number

pith:IP33Y4JX

pith:2011:IP33Y4JXO2O5EH5ML33YTXU66A

not attested not anchored not stored refs pending

Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces

Anthony Nouy, Antonio Falco

arxiv:1106.4424 v2 · 2011-06-22 · math.NA · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP33Y4JXO2O5EH5ML33YTXU66A}

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	2026-05-18T04:07:17.655228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f7bc7137769dd21fac5ef789de9ef00bdce202a8dcb012e73acb2107c2ba60

Aliases

arxiv: 1106.4424 · arxiv_version: 1106.4424v2 · doi: 10.48550/arxiv.1106.4424 · pith_short_12: IP33Y4JXO2O5 · pith_short_16: IP33Y4JXO2O5EH5M · pith_short_8: IP33Y4JX

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/IP33Y4JXO2O5EH5ML33YTXU66A \
  | 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: 43f7bc7137769dd21fac5ef789de9ef00bdce202a8dcb012e73acb2107c2ba60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55003c728e48e4d0e35a6fab41ec1cd96a6b57ea0e947c50a0e467977bdc5a30",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-22T11:48:29Z",
    "title_canon_sha256": "2af7d81f59f846a7f0d049d5b5ebbc2ccec41d5e92ffae3b07bae9c947d935eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4424",
    "kind": "arxiv",
    "version": 2
  }
}