Pith Number

pith:EHACE2V2

pith:2026:EHACE2V2G5HZY2ZQO377GRFQJD

not attested not anchored not stored refs pending

Projected Stochastic Gradient Descent with Decision Dependent Distributions: Extended Version

Caio Kalil Lauand, Emiliano Dall'Anese

arxiv:2606.19284 v1 · 2026-06-17 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHACE2V2G5HZY2ZQO377GRFQJD}

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	2026-06-19T16:12:09.689446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c0226aba374f9c6b3076fff344b048fca0e32cc0a2d1be4bfb909e6181c730

Aliases

arxiv: 2606.19284 · arxiv_version: 2606.19284v1 · doi: 10.48550/arxiv.2606.19284 · pith_short_12: EHACE2V2G5HZ · pith_short_16: EHACE2V2G5HZY2ZQ · pith_short_8: EHACE2V2

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/EHACE2V2G5HZY2ZQO377GRFQJD \
  | 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: 21c0226aba374f9c6b3076fff344b048fca0e32cc0a2d1be4bfb909e6181c730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74456cb08a347fd9bb2c9c23fe64792c826f8aa38b069c0ec050670540ff7c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T17:03:50Z",
    "title_canon_sha256": "8ab5cdaee59cf59bfe438fca17febc776b8f3ba8f89276a217c0253e5d50f823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19284",
    "kind": "arxiv",
    "version": 1
  }
}