Pith Number

pith:7B6L2V4G

pith:2019:7B6L2V4G6LD4BK4AOGRVQQRMXK

not attested not anchored not stored refs pending

Fractional-order Backpropagation Neural Networks: Modified Fractional-order Steepest Descent Method for Family of Backpropagation Neural Networks

Jian Wang, Yi-Fei PU

arxiv:1906.09524 v2 · 2019-06-23 · cs.NE · cs.LG · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7B6L2V4G6LD4BK4AOGRVQQRMXK}

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	2026-05-17T23:41:00.585495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87cbd5786f2c7c0ab8071a358422cba8795a38e606818a45bcdeaeb02765111

Aliases

arxiv: 1906.09524 · arxiv_version: 1906.09524v2 · doi: 10.48550/arxiv.1906.09524 · pith_short_12: 7B6L2V4G6LD4 · pith_short_16: 7B6L2V4G6LD4BK4A · pith_short_8: 7B6L2V4G

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/7B6L2V4G6LD4BK4AOGRVQQRMXK \
  | 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: f87cbd5786f2c7c0ab8071a358422cba8795a38e606818a45bcdeaeb02765111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f535f1f4dff97eda6207e67e45592365fa5e6c4d84e5ba2edf1857a445647e61",
    "cross_cats_sorted": [
      "cs.LG",
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2019-06-23T00:30:23Z",
    "title_canon_sha256": "651196b228bfa9b39f021748e38fe58380468164a63b647568ce61982e277ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09524",
    "kind": "arxiv",
    "version": 2
  }
}