Pith Number

pith:CSY6KX6A

pith:2015:CSY6KX6ACPYFRMHR7JR7ZUDVTI

not attested not anchored not stored refs pending

Online Gradient Descent in Function Space

Changbo Zhu, Huan Xu

arxiv:1512.02394 v2 · 2015-12-08 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSY6KX6ACPYFRMHR7JR7ZUDVTI}

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	2026-05-17T23:54:32.103045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b1e55fc013f058b0f1fa63fcd0759a0291faca440c0ed34461c518acbd15b2

Aliases

arxiv: 1512.02394 · arxiv_version: 1512.02394v2 · doi: 10.48550/arxiv.1512.02394 · pith_short_12: CSY6KX6ACPYF · pith_short_16: CSY6KX6ACPYFRMHR · pith_short_8: CSY6KX6A

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/CSY6KX6ACPYFRMHR7JR7ZUDVTI \
  | 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: 14b1e55fc013f058b0f1fa63fcd0759a0291faca440c0ed34461c518acbd15b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f127f4a0bea05ba07ba9429096732f5f26d23b18591045d0a47ea9ff77b3cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-12-08T10:38:19Z",
    "title_canon_sha256": "3c06aa18e1552f4fca5c7dea11d3d238262419f621564f08c51af8721dcad148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02394",
    "kind": "arxiv",
    "version": 2
  }
}