Pith Number

pith:7U6UCH2K

pith:2023:7U6UCH2K4XKZIDTCIE42K56DSW

not attested not anchored not stored refs pending

Neural Networks are Integrable

Yucong Liu

arxiv:2310.14394 v2 · 2023-10-22 · 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{7U6UCH2K4XKZIDTCIE42K56DSW}

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

Computational Math with Neural Networks is Hard

Receipt and verification

First computed	2026-07-05T07:57:44.920632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3d411f4ae5d5940e624139a577c395b20e8ec98a1f6d8a12c146c7b0f2c363

Aliases

arxiv: 2310.14394 · arxiv_version: 2310.14394v2 · doi: 10.48550/arxiv.2310.14394 · pith_short_12: 7U6UCH2K4XKZ · pith_short_16: 7U6UCH2K4XKZIDTC · pith_short_8: 7U6UCH2K

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/7U6UCH2K4XKZIDTCIE42K56DSW \
  | 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: fd3d411f4ae5d5940e624139a577c395b20e8ec98a1f6d8a12c146c7b0f2c363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06f89af9b5bff4af2a4a4817bd16340c025ca14d72c5f469bd01fd0b0ee90b8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-10-22T19:58:33Z",
    "title_canon_sha256": "8aee29131208350f99df8f3a17aa0a4dcaf7bc33bd063925b6da178c611e1be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14394",
    "kind": "arxiv",
    "version": 2
  }
}