Pith Number

pith:PRQ6PU64

pith:2001:PRQ6PU64AFPM34OU6EJ7FWJZY3

not attested not anchored not stored refs pending

Quantum-Classical Correspondence for the Equilibrium Distributions of Two Interacting Spins

J. Emerson, L.E. Ballentine

arxiv:quant-ph/0103050 v1 · 2001-03-10 · 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{PRQ6PU64AFPM34OU6EJ7FWJZY3}

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	2026-07-04T16:28:55.695003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c61e7d3dc015ecdf1d4f113f2d939c6daaa4efa75ea4b83c28fed4d513476ef

Aliases

arxiv: quant-ph/0103050 · arxiv_version: quant-ph/0103050v1 · doi: 10.48550/arxiv.quant-ph/0103050 · pith_short_12: PRQ6PU64AFPM · pith_short_16: PRQ6PU64AFPM34OU · pith_short_8: PRQ6PU64

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/PRQ6PU64AFPM34OU6EJ7FWJZY3 \
  | 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: 7c61e7d3dc015ecdf1d4f113f2d939c6daaa4efa75ea4b83c28fed4d513476ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c80293260b1d68d8608b230b3646b4cc17e9ab926148bc3ae36c54db2242da5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-03-10T23:17:11Z",
    "title_canon_sha256": "8b57132156517a66958326197cb2ae864d8f914d55a2d552fa7fe180080af0e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0103050",
    "kind": "arxiv",
    "version": 1
  }
}