Pith Number

pith:MYVJJ6PA

pith:2017:MYVJJ6PAALOZCSQJDDJRSUQQKH

not attested not anchored not stored refs pending

Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

Jian-Guo Liu, Lei Li, Yuanyuan Feng

arxiv:1712.06509 v2 · 2017-12-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYVJJ6PAALOZCSQJDDJRSUQQKH}

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	2026-05-18T00:26:07.375919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

662a94f9e002dd914a0918d319521051d4367aefda38daed6ddc33fd09a82a4b

Aliases

arxiv: 1712.06509 · arxiv_version: 1712.06509v2 · doi: 10.48550/arxiv.1712.06509 · pith_short_12: MYVJJ6PAALOZ · pith_short_16: MYVJJ6PAALOZCSQJ · pith_short_8: MYVJJ6PA

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/MYVJJ6PAALOZCSQJDDJRSUQQKH \
  | 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: 662a94f9e002dd914a0918d319521051d4367aefda38daed6ddc33fd09a82a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ed6e359e45a409fc44d9d8eb5079ba31bcfd5ad06ea44952740608a274a945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-18T16:44:20Z",
    "title_canon_sha256": "d48cbfc148fb2ba01b0dd8be4d884566bd6d74b5aa8a5f42860ab3af2a2d10ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06509",
    "kind": "arxiv",
    "version": 2
  }
}