Pith Number

pith:AMWBVHWC

pith:2024:AMWBVHWCXZNDHWZOD52OP4NO3D

not attested not anchored not stored refs pending

Free-Energy Machine for Combinatorial Optimization

Feng Pan, Man-Hong Yung, Pan Zhang, Wen-Biao Xu, Yao Wang, Yi-Ding Men, Zi-Song Shen

arxiv:2412.09285 v1 · 2024-12-12 · cond-mat.stat-mech · cond-mat.dis-nn · math.OC · 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{AMWBVHWCXZNDHWZOD52OP4NO3D}

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	2026-07-05T09:48:22.663010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032c1a9ec2be5a33db2e1f74e7f1aed8c03606e97f99b9a89516fd21807481cf

Aliases

arxiv: 2412.09285 · arxiv_version: 2412.09285v1 · doi: 10.48550/arxiv.2412.09285 · pith_short_12: AMWBVHWCXZND · pith_short_16: AMWBVHWCXZNDHWZO · pith_short_8: AMWBVHWC

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/AMWBVHWCXZNDHWZOD52OP4NO3D \
  | 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: 032c1a9ec2be5a33db2e1f74e7f1aed8c03606e97f99b9a89516fd21807481cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263315a2410ca5de9718e2df44a55e83faf17f06b07e1e04797fbca597482da9",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.OC",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-12T13:54:37Z",
    "title_canon_sha256": "45e1d11e8ee7a8cb4d6fcf60ab913918e1b8644dd99c21097b60daec6e5b9d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09285",
    "kind": "arxiv",
    "version": 1
  }
}