Pith Number

pith:K4BWBQ2Q

pith:2024:K4BWBQ2QNGMA7E3NJB2CKY2A3S

not attested not anchored not stored refs pending

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization

Kazuyuki Aihara, Luonan Chen, Peng Tao

arxiv:2412.09860 v1 · 2024-12-13 · cs.LG · cs.AI · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4BWBQ2QNGMA7E3NJB2CKY2A3S}

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	2026-07-05T09:48:42.813095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570360c35069980f936d4874256340dca0f94728b6087c8dfa8416c23e1b2fda

Aliases

arxiv: 2412.09860 · arxiv_version: 2412.09860v1 · doi: 10.48550/arxiv.2412.09860 · pith_short_12: K4BWBQ2QNGMA · pith_short_16: K4BWBQ2QNGMA7E3N · pith_short_8: K4BWBQ2Q

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/K4BWBQ2QNGMA7E3NJB2CKY2A3S \
  | 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: 570360c35069980f936d4874256340dca0f94728b6087c8dfa8416c23e1b2fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89420b66100a3e7a46d7bb8f5aa04939a90ede44195d82ed256fde976d60e6b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-13T05:00:57Z",
    "title_canon_sha256": "a2a71ad598df46fe911be11025583466b408e20ea885bf558491583f36b07428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09860",
    "kind": "arxiv",
    "version": 1
  }
}