Pith Number

pith:VV5B3VNR

pith:2015:VV5B3VNRPREUNWB4FJSB5BE3LH

not attested not anchored not stored refs pending

Constrained and Preconditioned Stochastic Gradient Method

Gang Huang, Hong Jiang, Liangkai Yu, Paul Wilford

arxiv:1508.07649 v1 · 2015-08-30 · math.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{VV5B3VNRPREUNWB4FJSB5BE3LH}

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	2026-05-18T01:34:31.766843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7a1dd5b17c4946d83c2a641e849b59c21bf9e93609c4dc726b4b60f8582b3f

Aliases

arxiv: 1508.07649 · arxiv_version: 1508.07649v1 · doi: 10.48550/arxiv.1508.07649 · pith_short_12: VV5B3VNRPREU · pith_short_16: VV5B3VNRPREUNWB4 · pith_short_8: VV5B3VNR

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/VV5B3VNRPREUNWB4FJSB5BE3LH \
  | 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: ad7a1dd5b17c4946d83c2a641e849b59c21bf9e93609c4dc726b4b60f8582b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb4ffb93359ecc9710255e7eff99d86059d3fdb4e48b5517e747212d9649d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-30T23:53:48Z",
    "title_canon_sha256": "ec14c6edfafc5a28f5b9b44a857cc74a61be49d768dd062fd633c7396b77a55f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07649",
    "kind": "arxiv",
    "version": 1
  }
}