Pith Number

pith:5RMLWWXD

pith:2022:5RMLWWXD5PQXILYZBO4DNW2BPN

not attested not anchored not stored refs pending

Backpropagation through Time and Space: Learning Numerical Methods with Multi-Agent Reinforcement Learning

Dheeraj S.K. Kapilavai, Elliot Way, Lei Yu, Yiwei Fu

arxiv:2203.08937 v3 · 2022-03-16 · cs.LG · cs.MA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RMLWWXD5PQXILYZBO4DNW2BPN}

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	2026-07-05T04:09:19.081814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec58bb5ae3ebe1742f190bb836db417b420ffc71b77a4f6860de1b5395edd77e

Aliases

arxiv: 2203.08937 · arxiv_version: 2203.08937v3 · doi: 10.48550/arxiv.2203.08937 · pith_short_12: 5RMLWWXD5PQX · pith_short_16: 5RMLWWXD5PQXILYZ · pith_short_8: 5RMLWWXD

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/5RMLWWXD5PQXILYZBO4DNW2BPN \
  | 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: ec58bb5ae3ebe1742f190bb836db417b420ffc71b77a4f6860de1b5395edd77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4792233071b2134984a8add5be67bed2517b5c3a05804de431c52fe327e4fcf6",
    "cross_cats_sorted": [
      "cs.MA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-03-16T20:50:24Z",
    "title_canon_sha256": "623aafa2674d4653c7c332f4f39c4f3a9ed9fdf87affb16789951d5907033aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.08937",
    "kind": "arxiv",
    "version": 3
  }
}