Pith Number

pith:DGJTKORQ

pith:2025:DGJTKORQ5KB5ARV5WPDRRA5VBE

not attested not anchored not stored refs pending

Non-smooth stochastic gradient descent using smoothing functions

Jingfu Tan, Luis Nunes Vicente, Tommaso Giovannelli

arxiv:2507.10901 v2 · 2025-07-15 · 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{DGJTKORQ5KB5ARV5WPDRRA5VBE}

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	2026-05-17T23:39:17.833488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1993353a30ea83d046bdb3c71883b5093ad5bcddb9d3c071d32f2e03727e18cf

Aliases

arxiv: 2507.10901 · arxiv_version: 2507.10901v2 · doi: 10.48550/arxiv.2507.10901 · pith_short_12: DGJTKORQ5KB5 · pith_short_16: DGJTKORQ5KB5ARV5 · pith_short_8: DGJTKORQ

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/DGJTKORQ5KB5ARV5WPDRRA5VBE \
  | 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: 1993353a30ea83d046bdb3c71883b5093ad5bcddb9d3c071d32f2e03727e18cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c6a9fef4770507ad1d6ca0cd64e25994dac2fee1e5ae67e9c6321d23616e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-15T01:32:52Z",
    "title_canon_sha256": "58b59fede1ba2dbc5edbcd95c116e27b7d02cab74257e220ddcd257e1ae5bb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10901",
    "kind": "arxiv",
    "version": 2
  }
}