Pith Number

pith:VV3MOQTY

pith:2022:VV3MOQTY6AJHWOUBOHKJLVAD2W

not attested not anchored not stored refs pending

Generic bounds on the approximation error for physics-informed (and) operator learning

Siddhartha Mishra, Tim De Ryck

arxiv:2205.11393 v2 · 2022-05-23 · cs.LG · cs.NA · 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{VV3MOQTY6AJHWOUBOHKJLVAD2W}

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.

Cited by

2 papers in Pith

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds

Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers

Receipt and verification

First computed	2026-07-05T05:04:48.687169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad76c74278f0127b3a8171d495d403d599d5ca977f6f72338a333b9f4097694e

Aliases

arxiv: 2205.11393 · arxiv_version: 2205.11393v2 · doi: 10.48550/arxiv.2205.11393 · pith_short_12: VV3MOQTY6AJH · pith_short_16: VV3MOQTY6AJHWOUB · pith_short_8: VV3MOQTY

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/VV3MOQTY6AJHWOUBOHKJLVAD2W \
  | 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: ad76c74278f0127b3a8171d495d403d599d5ca977f6f72338a333b9f4097694e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09dcd171ad0eda7047877784d5a7d11bac8287eeff9ee673bd1de0a6a650faa8",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-23T15:40:33Z",
    "title_canon_sha256": "d1f83859cc8a6767b6a2ff2af619ebab38784642d833de5610303f9fd816c12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11393",
    "kind": "arxiv",
    "version": 2
  }
}