Pith Number

pith:AJVALDGR

pith:2019:AJVALDGRYGTHYHTTM4XE5KZIXP

not attested not anchored not stored refs pending

An introduction to decentralized stochastic optimization with gradient tracking

Ran Xin, Soummya Kar, Usman A. Khan

arxiv:1907.09648 v2 · 2019-07-23 · cs.LG · cs.SY · eess.SY · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJVALDGRYGTHYHTTM4XE5KZIXP}

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	2026-07-05T00:18:52.061642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026a058cd1c1a67c1e73672e4eab28bbdb719d46a3ba06b85395bc1d852ec44c

Aliases

arxiv: 1907.09648 · arxiv_version: 1907.09648v2 · doi: 10.48550/arxiv.1907.09648 · pith_short_12: AJVALDGRYGTH · pith_short_16: AJVALDGRYGTHYHTT · pith_short_8: AJVALDGR

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/AJVALDGRYGTHYHTTM4XE5KZIXP \
  | 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: 026a058cd1c1a67c1e73672e4eab28bbdb719d46a3ba06b85395bc1d852ec44c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f90c70ea4ea1afd35a5e39f183b3b05bda0d3bb0fdc4eb92c03d6501e6108f99",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-07-23T01:36:41Z",
    "title_canon_sha256": "437f4a109406a4f08764805c6619b4add3d183ff10eb126c3ca7f006968f69d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09648",
    "kind": "arxiv",
    "version": 2
  }
}