Pith Number

pith:64M3PUYK

pith:2010:64M3PUYKB6RQRQHAAHO537CIEC

not attested not anchored not stored refs pending

Equivalence condition for the canonical and microcanonical ensembles in coupled spin systems

C. P. Sun, Franco Nori, Wenxian Zhang

arxiv:1007.3877 v1 · 2010-07-22 · cond-mat.stat-mech · quant-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{64M3PUYKB6RQRQHAAHO537CIEC}

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	2026-05-18T04:36:51.145151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f719b7d30a0fa308c0e001ddddfc48209bd9211949303fca40911c76d781f4bc

Aliases

arxiv: 1007.3877 · arxiv_version: 1007.3877v1 · doi: 10.48550/arxiv.1007.3877 · pith_short_12: 64M3PUYKB6RQ · pith_short_16: 64M3PUYKB6RQRQHA · pith_short_8: 64M3PUYK

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/64M3PUYKB6RQRQHAAHO537CIEC \
  | 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: f719b7d30a0fa308c0e001ddddfc48209bd9211949303fca40911c76d781f4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf71f8af2ff1c434e35bf1ae80b25de9feb05089f1a25da16372fa7d134d6534",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-07-22T13:07:51Z",
    "title_canon_sha256": "b1d256dd63900122d1a1c6c7a64e3ae9d30fb8b896c343eada88db4bf5ae0206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3877",
    "kind": "arxiv",
    "version": 1
  }
}