Pith Number

pith:PSWXRCLO

pith:2012:PSWXRCLOGFU7XB5HBQZO2ZRQ3H

not attested not anchored not stored refs pending

Comment on "Convergence of macrostates under reproducible processes" [Phys. Lett. A 374: 3715-3717 (2010)]

Junde Wu, Lin Zhang, Shao-Ming Fei

arxiv:1210.4720 v4 · 2012-10-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSWXRCLOGFU7XB5HBQZO2ZRQ3H}

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	2026-05-18T03:21:33.612434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cad78896e3169fb87a70c32ed6630d9f8662e04a90db304fb6755baeaa59e66

Aliases

arxiv: 1210.4720 · arxiv_version: 1210.4720v4 · doi: 10.48550/arxiv.1210.4720 · pith_short_12: PSWXRCLOGFU7 · pith_short_16: PSWXRCLOGFU7XB5H · pith_short_8: PSWXRCLO

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/PSWXRCLOGFU7XB5HBQZO2ZRQ3H \
  | 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: 7cad78896e3169fb87a70c32ed6630d9f8662e04a90db304fb6755baeaa59e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb428a2fc7c157882bd501774e8e29efe40767fd58cce016e125650c93cd45a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-17T12:46:59Z",
    "title_canon_sha256": "8421e9ebabd8202d98a4059185198f464771c8ff58dc8d25cd8fe60c67f4749c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4720",
    "kind": "arxiv",
    "version": 4
  }
}