Pith Number

pith:5GE4AFBY

pith:2025:5GE4AFBYB24LZVRO7DXFQUS3QI

not attested not anchored not stored refs pending

Deep Ritz method with Fourier feature mapping: A deep learning approach for solving variational models of microstructure

Ensela Mema, Jaroslaw Knap, Ting Wang

arxiv:2502.06865 v1 · 2025-02-08 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GE4AFBYB24LZVRO7DXFQUS3QI}

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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	2026-07-05T10:12:29.087856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e989c014380eb8bcd62ef8ee58525b823b0c9de2b0d97d7f93387aa64a7c44a2

Aliases

arxiv: 2502.06865 · arxiv_version: 2502.06865v1 · doi: 10.48550/arxiv.2502.06865 · pith_short_12: 5GE4AFBYB24L · pith_short_16: 5GE4AFBYB24LZVRO · pith_short_8: 5GE4AFBY

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/5GE4AFBYB24LZVRO7DXFQUS3QI \
  | 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: e989c014380eb8bcd62ef8ee58525b823b0c9de2b0d97d7f93387aa64a7c44a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be70bd75e93469c62160ed034c3b322dcb9e5641a09f3dbe2643b51c5be9620",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-08T02:37:03Z",
    "title_canon_sha256": "6745cc9d3df2fde65b7979378217a93bd848e224a42a7bf96ec494e6b798eaf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06865",
    "kind": "arxiv",
    "version": 1
  }
}