Pith Number

pith:GIPZDVXK

pith:2014:GIPZDVXKQR4Q2KA7MYP24NZLTF

not attested not anchored not stored refs pending

Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques

Kathrin Smetana, Mario Ohlberger

arxiv:1401.0851 v3 · 2014-01-04 · math.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{GIPZDVXKQR4Q2KA7MYP24NZLTF}

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	2026-05-18T00:50:07.252705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321f91d6ea84790d281f661fae372b995e72ddc3d40125513fcc87b75368a4b1

Aliases

arxiv: 1401.0851 · arxiv_version: 1401.0851v3 · doi: 10.48550/arxiv.1401.0851 · pith_short_12: GIPZDVXKQR4Q · pith_short_16: GIPZDVXKQR4Q2KA7 · pith_short_8: GIPZDVXK

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/GIPZDVXKQR4Q2KA7MYP24NZLTF \
  | 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: 321f91d6ea84790d281f661fae372b995e72ddc3d40125513fcc87b75368a4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f72f5225ced8f7f1f3d2d0c91a18dc7e2bb3eb4e6aa8d29a6c01c451658505e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-04T23:17:31Z",
    "title_canon_sha256": "d21ef207e9482a2d0e308578b2cd603f7207d992b5ac3716f57bc8dd4a78a7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0851",
    "kind": "arxiv",
    "version": 3
  }
}