Pith Number

pith:Z66SPM76

pith:2026:Z66SPM76AE7FSHKIRIBGQA7R4R

not attested not anchored not stored refs pending

Memory-Computation Tradeoffs in Semi Amortized Parametric Optimization

Agustin Castellano, Enrique Mallada, Shijie Pan, Zeyu Shen

arxiv:2607.20769 v1 · 2026-07-22 · 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{Z66SPM76AE7FSHKIRIBGQA7R4R}

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	2026-07-24T00:23:33.474079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbd27b3fe013e591d488a026803f1e46274e0f11ac8dc6257b1fa2d7ab2f6c3

Aliases

arxiv: 2607.20769 · arxiv_version: 2607.20769v1 · doi: 10.48550/arxiv.2607.20769 · pith_short_12: Z66SPM76AE7F · pith_short_16: Z66SPM76AE7FSHKI · pith_short_8: Z66SPM76

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/Z66SPM76AE7FSHKIRIBGQA7R4R \
  | 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: cfbd27b3fe013e591d488a026803f1e46274e0f11ac8dc6257b1fa2d7ab2f6c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab5989511adb1e116c4358f444ba3bcd60a8bf12d3a9cd2ccb2fef6b8f01f03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-22T22:36:27Z",
    "title_canon_sha256": "2e7ec837badd75dd10db3861d773cf1eb25a93dd9c68205fca735c04aca13c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20769",
    "kind": "arxiv",
    "version": 1
  }
}