Pith Number

pith:ZDXPKIDW

pith:2019:ZDXPKIDW7XVRK3QUDGRVWAJJJ5

not attested not anchored not stored refs pending

L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations

Lijie Ji, Sigal Gottlieb, Yanlai Chen, Yvon Maday, Zhenli Xu

arxiv:1906.07349 v1 · 2019-06-18 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDXPKIDW7XVRK3QUDGRVWAJJJ5}

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	2026-05-17T23:43:08.130848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8eef52076fdeb156e1419a35b01294f40b90eefc63e675729840bd94409c628

Aliases

arxiv: 1906.07349 · arxiv_version: 1906.07349v1 · doi: 10.48550/arxiv.1906.07349 · pith_short_12: ZDXPKIDW7XVR · pith_short_16: ZDXPKIDW7XVRK3QU · pith_short_8: ZDXPKIDW

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/ZDXPKIDW7XVRK3QUDGRVWAJJJ5 \
  | 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: c8eef52076fdeb156e1419a35b01294f40b90eefc63e675729840bd94409c628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27710c83eec672dfbe896540cfbabb9bb890a767ab271349e9a5a6d3ba53d313",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-18T02:38:12Z",
    "title_canon_sha256": "7b95fdf1c1d95badfe291c43f1bb2de2fe6aa796ad19cda90c8716e31e99e4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07349",
    "kind": "arxiv",
    "version": 1
  }
}