Pith Number

pith:FCJVDHFU

pith:2024:FCJVDHFUFKYPN2D5H5KYAAT46U

not attested not anchored not stored refs pending

Lift-and-Embed Learning Methods for Solving Scalar Hyperbolic Equations with Discontinuous Solutions

Lili Ju, Qi Sun, Xuejun Xu, Zhenjiang Liu

arxiv:2411.05382 v2 · 2024-11-08 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCJVDHFUFKYPN2D5H5KYAAT46U}

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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

CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions

Receipt and verification

First computed	2026-07-05T10:32:33.379354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2893519cb42ab0f6e87d3f5580027cf52ea4ba83bcc1ad26f29ea8062c260a3d

Aliases

arxiv: 2411.05382 · arxiv_version: 2411.05382v2 · doi: 10.48550/arxiv.2411.05382 · pith_short_12: FCJVDHFUFKYP · pith_short_16: FCJVDHFUFKYPN2D5 · pith_short_8: FCJVDHFU

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/FCJVDHFUFKYPN2D5H5KYAAT46U \
  | 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: 2893519cb42ab0f6e87d3f5580027cf52ea4ba83bcc1ad26f29ea8062c260a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d78fcaccfcde9ffe74c9990697e9bf5e1fc4dad68e053b5db51f4cf104bf1e3e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-08T07:33:30Z",
    "title_canon_sha256": "454808cf4e634528b96fd915371ae0f0b5a7032a6a232279d63554294610ec7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.05382",
    "kind": "arxiv",
    "version": 2
  }
}