Pith Number

pith:D6ELP6Z6

pith:2020:D6ELP6Z6EOLEUHXXE5ZHLKEMLE

not attested not anchored not stored refs pending

Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections

Carl Leake, Daniele Mortari, Hunter Johnston

arxiv:2002.05113 v1 · 2020-02-10 · 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{D6ELP6Z6EOLEUHXXE5ZHLKEMLE}

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.

Receipt and verification

First computed	2026-07-05T00:48:02.652932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f88b7fb3e23964a1ef7277275a88c59165885cfebfeceeb0b01602b201cc213

Aliases

arxiv: 2002.05113 · arxiv_version: 2002.05113v1 · doi: 10.48550/arxiv.2002.05113 · pith_short_12: D6ELP6Z6EOLE · pith_short_16: D6ELP6Z6EOLEUHXX · pith_short_8: D6ELP6Z6

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/D6ELP6Z6EOLEUHXXE5ZHLKEMLE \
  | 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: 1f88b7fb3e23964a1ef7277275a88c59165885cfebfeceeb0b01602b201cc213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc990d15a828a6d2a4f2c7eac8c824fad32cb9158a55778584d024f45c14dceb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-02-10T23:30:51Z",
    "title_canon_sha256": "66f302287e4ea6c716d89b5821ce61d77d2f1167378ff6d637328fec264bdcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05113",
    "kind": "arxiv",
    "version": 1
  }
}