Pith Number

pith:FCT6ZWB6

pith:2018:FCT6ZWB6PW4HVJHOB3CBFKIPA5

not attested not anchored not stored refs pending

A multiscale neural network based on hierarchical matrices

Leonardo Zepeda-Nunez, Lexing Ying, Lin Lin, Yuwei Fan

arxiv:1807.01883 v4 · 2018-07-05 · 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{FCT6ZWB6PW4HVJHOB3CBFKIPA5}

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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

2 papers in Pith

Theory of the Frequency Principle for General Deep Neural Networks

Neural Operator: Graph Kernel Network for Partial Differential Equations

Receipt and verification

First computed	2026-07-05T00:18:04.614960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a7ecd83e7db87aa4ee0ec412a90f074cb884865482bae4473bf67c3fe11f46

Aliases

arxiv: 1807.01883 · arxiv_version: 1807.01883v4 · doi: 10.48550/arxiv.1807.01883 · pith_short_12: FCT6ZWB6PW4H · pith_short_16: FCT6ZWB6PW4HVJHO · pith_short_8: FCT6ZWB6

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/FCT6ZWB6PW4HVJHOB3CBFKIPA5 \
  | 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: 28a7ecd83e7db87aa4ee0ec412a90f074cb884865482bae4473bf67c3fe11f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0387a88762e63ca2ed5ee9f9b59976393843aade7030a2b6e39d6a5fb79175c1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-05T07:47:24Z",
    "title_canon_sha256": "d560487351d1a015cb2477d08ed4fc084f159e9fd5363f26ec2049f240867aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01883",
    "kind": "arxiv",
    "version": 4
  }
}