Pith Number

pith:VRJK7Z6L

pith:2026:VRJK7Z6LWX7JH5TSD7OALDTRSU

not attested not anchored not stored refs pending

Complexity Bounds and Approaches to Learning Projected Gradient Descent Solver Iterates

Anjian Li, Ryne Beeson

arxiv:2607.22467 v1 · 2026-07-24 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRJK7Z6LWX7JH5TSD7OALDTRSU}

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	2026-07-27T01:21:22.500771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac52afe7cbb5fe93f6721fdc058e719518f1355019681e1c8d51eeed7dd48fc8

Aliases

arxiv: 2607.22467 · arxiv_version: 2607.22467v1 · doi: 10.48550/arxiv.2607.22467 · pith_short_12: VRJK7Z6LWX7J · pith_short_16: VRJK7Z6LWX7JH5TS · pith_short_8: VRJK7Z6L

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/VRJK7Z6LWX7JH5TSD7OALDTRSU \
  | 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: ac52afe7cbb5fe93f6721fdc058e719518f1355019681e1c8d51eeed7dd48fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6362e13c2c5b19d025d96ff10022e7219a61d74999585a475178386cc7b01e39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-24T16:31:30Z",
    "title_canon_sha256": "a006ca7da920d110893e4bf7f3e13e5f2a0a75e089f85f4f6f545e51069b68ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22467",
    "kind": "arxiv",
    "version": 1
  }
}