pith. sign in
Pith Number

pith:QACYRXZD

pith:2011:QACYRXZDQCCB23ZN4HSUX5NQWX
not attested not anchored not stored refs pending

Path Integral Approach to the Calculation of Reaction Rates for a Reaction Coordinate Coupled to a Dual Harmonic Bath

Oliver K\"uhn, Yonggang Yang

arxiv:1111.3007 v1 · 2011-11-13 · physics.chem-ph · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QACYRXZDQCCB23ZN4HSUX5NQWX}

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 2026-05-18T04:08:23.232947Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

800588df2380841d6f2de1e54bf5b0b5ea315da7bb7eca0be5b0abc49b8c5a4e

Aliases

arxiv: 1111.3007 · arxiv_version: 1111.3007v1 · doi: 10.48550/arxiv.1111.3007 · pith_short_12: QACYRXZDQCCB · pith_short_16: QACYRXZDQCCB23ZN · pith_short_8: QACYRXZD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QACYRXZDQCCB23ZN4HSUX5NQWX \
  | 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: 800588df2380841d6f2de1e54bf5b0b5ea315da7bb7eca0be5b0abc49b8c5a4e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2f923bbcfb080b9a265828a617b80af49ac1febd6ee4fab6c5d5dcca8361b960",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2011-11-13T13:12:57Z",
    "title_canon_sha256": "b6685972480da4d85d652677d5e3623d873ae9705e14909d3f83bc006c365143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3007",
    "kind": "arxiv",
    "version": 1
  }
}