Pith Number

pith:LBLOHVVX

pith:2018:LBLOHVVXTCZZZVSDBXFFQ3UIUL

not attested not anchored not stored refs pending

Convergence of the Augmented Decomposition Algorithm

Hongsheng Liu, Shu Lu

arxiv:1808.08287 v1 · 2018-08-24 · 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{LBLOHVVXTCZZZVSDBXFFQ3UIUL}

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	2026-05-18T00:07:21.580969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5856e3d6b798b39cd6430dca586e88a2cc1a65244d4f51169a29b917dc8492fd

Aliases

arxiv: 1808.08287 · arxiv_version: 1808.08287v1 · doi: 10.48550/arxiv.1808.08287 · pith_short_12: LBLOHVVXTCZZ · pith_short_16: LBLOHVVXTCZZZVSD · pith_short_8: LBLOHVVX

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/LBLOHVVXTCZZZVSDBXFFQ3UIUL \
  | 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: 5856e3d6b798b39cd6430dca586e88a2cc1a65244d4f51169a29b917dc8492fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041358b83c035697c7afdc9608911e360a48274439206f54758f7ec59b92b8bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-24T19:45:19Z",
    "title_canon_sha256": "c48b185343a6073f623bdd5e00452351e1325d365f8a9681e017f9b38a2eb566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08287",
    "kind": "arxiv",
    "version": 1
  }
}