Pith Number

pith:WRDNUAJK

pith:2019:WRDNUAJKQCB5WOOYCHUXBKTHJC

not attested not anchored not stored refs pending

An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

Cosmin Anitescu, Esteban Samaniego, Hongwei Guo, Khader Hamdia, Somdatta Goswami, Timon Rabczuk, Vien Minh Nguyen-Thanh, Xiaoying Zhuang

arxiv:1908.10407 v2 · 2019-08-27 · stat.ML · cs.LG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRDNUAJKQCB5WOOYCHUXBKTHJC}

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	2026-07-05T00:41:36.220378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b446da012a8083db39d811e970aa67488b70c943dba6cdfb0879d4a12f6e5eee

Aliases

arxiv: 1908.10407 · arxiv_version: 1908.10407v2 · doi: 10.48550/arxiv.1908.10407 · pith_short_12: WRDNUAJKQCB5 · pith_short_16: WRDNUAJKQCB5WOOY · pith_short_8: WRDNUAJK

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/WRDNUAJKQCB5WOOYCHUXBKTHJC \
  | 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: b446da012a8083db39d811e970aa67488b70c943dba6cdfb0879d4a12f6e5eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf4d6e5bdc494d87e16232f3741c55394243a90cddbb88f7527e355b4889ae4",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-08-27T18:50:50Z",
    "title_canon_sha256": "55ab3d3335f31e5122b5b3975b23c79784df719803c4fe4d6bd1da5d9f9ca7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10407",
    "kind": "arxiv",
    "version": 2
  }
}