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Pith Number

pith:6OWC7R7Q

pith:2011:6OWC7R7QX5KJV2IMXIKHBBWWVA
not attested not anchored not stored refs pending

Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath

Martin K\"onenberg

arxiv:1101.1188 v1 · 2011-01-06 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6OWC7R7QX5KJV2IMXIKHBBWWVA}

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 2026-05-18T02:04:12.352176Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f3ac2fc7f0bf549ae90cba147086d6a811b028e42a6c7e64eab62d499b71660a

Aliases

arxiv: 1101.1188 · arxiv_version: 1101.1188v1 · doi: 10.48550/arxiv.1101.1188 · pith_short_12: 6OWC7R7QX5KJ · pith_short_16: 6OWC7R7QX5KJV2IM · pith_short_8: 6OWC7R7Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6OWC7R7QX5KJV2IMXIKHBBWWVA \
  | 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: f3ac2fc7f0bf549ae90cba147086d6a811b028e42a6c7e64eab62d499b71660a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "44c34cf43a77a102a7b91ab5644f9678522e333fcae854ccf9336ffc3fc8870d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-06T10:50:36Z",
    "title_canon_sha256": "e5d9421126dc110258dcf3cba8f407a6ef44a041bcf30681682835e704a72bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1188",
    "kind": "arxiv",
    "version": 1
  }
}