Pith Number

pith:GG7KTTDJ

pith:2026:GG7KTTDJQM6ZPBYDKOF5T54R2O

not attested not anchored not stored refs pending

Memory-Efficient Activation Checkpointing with Sliding Window and Hirschberg's Algorithm for 0/1 Knapsack Solving in PyTorch

J\k{e}drzej Maczan

arxiv:2608.08740 v1 · 2026-08-09 · 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{GG7KTTDJQM6ZPBYDKOF5T54R2O}

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	2026-08-11T01:25:11.774761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bea9cc69833d978703538bd9f791d3bb4e365b4cc4b8d8c39c64e490de1c5e

Aliases

arxiv: 2608.08740 · arxiv_version: 2608.08740v1 · doi: 10.48550/arxiv.2608.08740 · pith_short_12: GG7KTTDJQM6Z · pith_short_16: GG7KTTDJQM6ZPBYD · pith_short_8: GG7KTTDJ

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/GG7KTTDJQM6ZPBYDKOF5T54R2O \
  | 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: 31bea9cc69833d978703538bd9f791d3bb4e365b4cc4b8d8c39c64e490de1c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9abd654b86f9f4ab436166f1b7f3449ee83ff7fe1c6af2dab97d98a4cbe8288",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-09T14:36:19Z",
    "title_canon_sha256": "6d75247d7858f61b98b6166f9d7aa55fc0b5f6fdec20a708739375672f0c88e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08740",
    "kind": "arxiv",
    "version": 1
  }
}