Pith Number

pith:DXQZKSNB

pith:2011:DXQZKSNBNWRHJY4FAH6PKQ65MY

not attested not anchored not stored refs pending

Constructing Runge-Kutta Methods with the Use of Artificial Neural Networks

Angelos A. Anastassi

arxiv:1106.1194 v2 · 2011-06-06 · cs.NE · 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{DXQZKSNBNWRHJY4FAH6PKQ65MY}

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

1 paper in Pith

Matrix Lie Maps and Neural Networks for Solving Differential Equations

Receipt and verification

First computed	2026-05-18T03:12:58.201487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1de19549a16da274e38501fcf543dd662f2fbc32e1a8dd8f8afa31c26b19ac58

Aliases

arxiv: 1106.1194 · arxiv_version: 1106.1194v2 · doi: 10.48550/arxiv.1106.1194 · pith_short_12: DXQZKSNBNWRH · pith_short_16: DXQZKSNBNWRHJY4F · pith_short_8: DXQZKSNB

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/DXQZKSNBNWRHJY4FAH6PKQ65MY \
  | 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: 1de19549a16da274e38501fcf543dd662f2fbc32e1a8dd8f8afa31c26b19ac58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93368feaa5b3f9cd5932712149114b9bf03d2cee3e281b0223ac9c668a6b3b24",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2011-06-06T20:37:55Z",
    "title_canon_sha256": "4303ba617e913088ad9beeaabdc4a34903182217ff63d9f5a3fcaca780e56470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1194",
    "kind": "arxiv",
    "version": 2
  }
}