Pith Number

pith:37DZWG55

pith:2006:37DZWG55LP35V2MSYC6L6DJGUX

not attested not anchored not stored refs pending

On convergence to equilibrium in strongly coupled Bogoliubov's oscillator model

V. Strokov

arxiv:quant-ph/0612202 v2 · 2006-12-23 · 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{37DZWG55LP35V2MSYC6L6DJGUX}

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	2026-07-04T15:06:27.322695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc79b1bbd5bf7dae992c0bcbf0d26a5d092581b0c1a27230eca9c83c4a08ecf

Aliases

arxiv: quant-ph/0612202 · arxiv_version: quant-ph/0612202v2 · doi: 10.48550/arxiv.quant-ph/0612202 · pith_short_12: 37DZWG55LP35 · pith_short_16: 37DZWG55LP35V2MS · pith_short_8: 37DZWG55

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/37DZWG55LP35V2MSYC6L6DJGUX \
  | 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: dfc79b1bbd5bf7dae992c0bcbf0d26a5d092581b0c1a27230eca9c83c4a08ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c44302e79e61dbcdeed6f2d0c52071d15675929f95a6260fe3335f9224b64aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-23T20:53:54Z",
    "title_canon_sha256": "4f3b956f446c620d2f282bdb790c6130393997622c671b652be2cb24a2ce9e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612202",
    "kind": "arxiv",
    "version": 2
  }
}