Pith Number

pith:MV2U5UG2

pith:2020:MV2U5UG2CPQJBLIVKRJ42ZT77G

not attested not anchored not stored refs pending

A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales

Lei Zhang, Xi-An Li, Zhi-Qin John Xu

arxiv:2009.14597 v2 · 2020-09-30 · physics.comp-ph · math.AP

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\usepackage{pith}
\pithnumber{MV2U5UG2CPQJBLIVKRJ42ZT77G}

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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

Multi-Resolution Training-Enhanced Kolmogorov-Arnold Networks for Multi-Scale PDE Problems

Receipt and verification

First computed	2026-07-05T02:02:45.761694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65754ed0da13e090ad155453cd667ff9ab75fe46ec174feed6fa98cda6b0093c

Aliases

arxiv: 2009.14597 · arxiv_version: 2009.14597v2 · doi: 10.48550/arxiv.2009.14597 · pith_short_12: MV2U5UG2CPQJ · pith_short_16: MV2U5UG2CPQJBLIV · pith_short_8: MV2U5UG2

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/MV2U5UG2CPQJBLIVKRJ42ZT77G \
  | 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: 65754ed0da13e090ad155453cd667ff9ab75fe46ec174feed6fa98cda6b0093c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbce583360c6af7f844c42bc1f7035d31d407a7951407a70e952962f9ed55191",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-09-30T13:14:36Z",
    "title_canon_sha256": "ac0feba64c138d33298fdd25f7f82e6cdfef898f561f0d51d8928a862b9c3e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.14597",
    "kind": "arxiv",
    "version": 2
  }
}