Pith Number

pith:RMZL5MPT

pith:2010:RMZL5MPT7KVQVMYYYL52FE4D46

not attested not anchored not stored refs pending

Rotating wave approximation and entropy

Almut Beige, Andreas Kurcz, Antonio Capolupo, Emilio Del Giudice, Giuseppe Vitiello

arxiv:1001.3944 v2 · 2010-01-22 · math-ph · math.MP · 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{RMZL5MPT7KVQVMYYYL52FE4D46}

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	2026-05-18T02:09:31.232764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b32beb1f3faab0ab318c2fba29383e7a12fac2d306bca706451b69577d3a16a

Aliases

arxiv: 1001.3944 · arxiv_version: 1001.3944v2 · doi: 10.48550/arxiv.1001.3944 · pith_short_12: RMZL5MPT7KVQ · pith_short_16: RMZL5MPT7KVQVMYY · pith_short_8: RMZL5MPT

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/RMZL5MPT7KVQVMYYYL52FE4D46 \
  | 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: 8b32beb1f3faab0ab318c2fba29383e7a12fac2d306bca706451b69577d3a16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f23686d06d63c2ae553333ba64841830a3a1bc82657ab5ccd621e875dc620a",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-22T09:30:15Z",
    "title_canon_sha256": "dd69d457f3597ce5b8b348df6b052fe7675779df8fd0fdabe435b53b254e831f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3944",
    "kind": "arxiv",
    "version": 2
  }
}