Pith Number

pith:B45HDIW4

pith:2021:B45HDIW4IJVEJW45BYRPRI5TEB

not attested not anchored not stored refs pending

Error Analysis of Deep Ritz Methods for Elliptic Equations

Yang Wang, Yanming Lai, Yisu Lo, Yuling Jiao, Yunfei Yang

arxiv:2107.14478 v2 · 2021-07-30 · 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{B45HDIW4IJVEJW45BYRPRI5TEB}

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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.

Cited by

1 paper in Pith

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks

Receipt and verification

First computed	2026-07-05T03:11:31.891715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3a71a2dc426a44db9d0e22f8a3b320612c4ce24e6d4bcca51db3232ef93482

Aliases

arxiv: 2107.14478 · arxiv_version: 2107.14478v2 · doi: 10.48550/arxiv.2107.14478 · pith_short_12: B45HDIW4IJVE · pith_short_16: B45HDIW4IJVEJW45 · pith_short_8: B45HDIW4

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/B45HDIW4IJVEJW45BYRPRI5TEB \
  | 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: 0f3a71a2dc426a44db9d0e22f8a3b320612c4ce24e6d4bcca51db3232ef93482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421938bfd516452581a93a909f9fdcfb8ea0ffa980c6357ad008e61cdb6e395d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-07-30T08:02:05Z",
    "title_canon_sha256": "1992575bd9ca9fe7a7826af19d96f0ade86e982925f5ee685d3d2c6f851fd9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14478",
    "kind": "arxiv",
    "version": 2
  }
}