Pith Number

pith:VIMAULFP

pith:2021:VIMAULFPYHFHAX3O5WIINHTMEO

not attested not anchored not stored refs pending

Greedy Training Algorithms for Neural Networks and Applications to PDEs

Jinchao Xu, Jonathan W. Siegel, Qingguo Hong, Wenrui Hao, Xianlin Jin

arxiv:2107.04466 v4 · 2021-07-09 · 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{VIMAULFPYHFHAX3O5WIINHTMEO}

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	2026-07-05T05:54:10.504572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa180a2cafc1ca705f6eed90869e6c238ba5ac1bdf9a2b1b3122bf6876374d8f

Aliases

arxiv: 2107.04466 · arxiv_version: 2107.04466v4 · doi: 10.48550/arxiv.2107.04466 · pith_short_12: VIMAULFPYHFH · pith_short_16: VIMAULFPYHFHAX3O · pith_short_8: VIMAULFP

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/VIMAULFPYHFHAX3O5WIINHTMEO \
  | 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: aa180a2cafc1ca705f6eed90869e6c238ba5ac1bdf9a2b1b3122bf6876374d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c6652a89f842f81804a1800007a21929393885e3fbcf9bd16a161c848e277a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-07-09T14:32:02Z",
    "title_canon_sha256": "996fde0deb90bae645cfff48c51ba17dd7a38fd8d30e5e235cf200320aa7755e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04466",
    "kind": "arxiv",
    "version": 4
  }
}