Pith Number

pith:N644JMXO

pith:2025:N644JMXOIEI34SEH7YCZIQ2LNJ

not attested not anchored not stored refs pending

Error estimates of asymptotic-preserving neural networks in approximating stochastic linearized Boltzmann equation

Jiayu Wan, Liu Liu

arxiv:2503.01643 v3 · 2025-03-03 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N644JMXOIEI34SEH7YCZIQ2LNJ}

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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

Structure and asymptotic preserving deep neural surrogates for uncertainty quantification in multiscale kinetic equations

Receipt and verification

First computed	2026-07-05T10:37:46.108605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb9c4b2ee4111be4887fe0594434b6a5404089c4ad25310ecbf37eeb1bf80c5

Aliases

arxiv: 2503.01643 · arxiv_version: 2503.01643v3 · doi: 10.48550/arxiv.2503.01643 · pith_short_12: N644JMXOIEI3 · pith_short_16: N644JMXOIEI34SEH · pith_short_8: N644JMXO

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/N644JMXOIEI34SEH7YCZIQ2LNJ \
  | 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: 6fb9c4b2ee4111be4887fe0594434b6a5404089c4ad25310ecbf37eeb1bf80c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff7e8f3725f4819b722760f3c7fc2a5a184a1dd59f1d7510419ea58f1403013",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-03-03T15:22:26Z",
    "title_canon_sha256": "2e4697e221f4c0a7d875bced8844e298ba3968a636feeebde4e10e53a1a74459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01643",
    "kind": "arxiv",
    "version": 3
  }
}