Pith Number

pith:BFXE3Q4J

pith:2021:BFXE3Q4JN7XVFYHVNOJTCMNIWI

not attested not anchored not stored refs pending

Symbolic integration by integrating learning models with different strengths and weaknesses

Akira Funahashi, Hazumi Kubota, Takahiro G. Yamada, Yuta Tokuoka

arxiv:2103.05497 v1 · 2021-03-09 · cs.LG · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFXE3Q4JN7XVFYHVNOJTCMNIWI}

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	2026-07-05T04:21:03.104999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096e4dc3896fef52e0f56b933131a8b22e9cab33328f82d31944793e9c0ba92e

Aliases

arxiv: 2103.05497 · arxiv_version: 2103.05497v1 · doi: 10.48550/arxiv.2103.05497 · pith_short_12: BFXE3Q4JN7XV · pith_short_16: BFXE3Q4JN7XVFYHV · pith_short_8: BFXE3Q4J

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/BFXE3Q4JN7XVFYHVNOJTCMNIWI \
  | 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: 096e4dc3896fef52e0f56b933131a8b22e9cab33328f82d31944793e9c0ba92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5f8f4431c9c35ea384a1fcbd850657b9ad7728ac942de43b6d08d6e88ce7e6",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-09T15:46:36Z",
    "title_canon_sha256": "da520cd0f4a8ac893e3bc56a67076029aa35ed9eea1bffdc07ed17bba2bb5657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05497",
    "kind": "arxiv",
    "version": 1
  }
}