Pith Number

pith:2GL5ZIRC

pith:2020:2GL5ZIRCOT23YMDGGMUXC3MHWL

not attested not anchored not stored refs pending

Convergence and Sample Complexity of SGD in GANs

Christos Tzamos, Sihan Liu, Vasilis Kontonis

arxiv:2012.00732 v1 · 2020-12-01 · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GL5ZIRCOT23YMDGGMUXC3MHWL}

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	2026-07-05T01:56:19.350334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d197dca22274f5bc30663329716d87b2cf61e3696a672d30cddf29259b5259ed

Aliases

arxiv: 2012.00732 · arxiv_version: 2012.00732v1 · doi: 10.48550/arxiv.2012.00732 · pith_short_12: 2GL5ZIRCOT23 · pith_short_16: 2GL5ZIRCOT23YMDG · pith_short_8: 2GL5ZIRC

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/2GL5ZIRCOT23YMDGGMUXC3MHWL \
  | 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: d197dca22274f5bc30663329716d87b2cf61e3696a672d30cddf29259b5259ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4fe065cedd2bda55fd32b29f2bbe60fc9ba8db52683dd7109c5efa6469a9b2",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-01T18:50:38Z",
    "title_canon_sha256": "785c34a84b4e178547a3925b65b1d4fc094e84d5485b8f15d0d8ee64286009e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00732",
    "kind": "arxiv",
    "version": 1
  }
}