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Pith Number

pith:DCBOG5YD

pith:2007:DCBOG5YDWXFEY4HVRP72OMJMWU
not attested not anchored not stored refs pending

Semi-Classical Dynamics in Quantum Spin Systems

A. Knowles, E. Lenzmann, J. Froehlich

arxiv:0709.4561 v1 · 2007-09-28 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DCBOG5YDWXFEY4HVRP72OMJMWU}

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 2026-07-04T17:05:55.253771Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1882e37703b5ca4c70f58bffa7312cb50e4dab693f0eed88c35a88838917e30b

Aliases

arxiv: 0709.4561 · arxiv_version: 0709.4561v1 · doi: 10.48550/arxiv.0709.4561 · pith_short_12: DCBOG5YDWXFE · pith_short_16: DCBOG5YDWXFEY4HV · pith_short_8: DCBOG5YD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DCBOG5YDWXFEY4HVRP72OMJMWU \
  | 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: 1882e37703b5ca4c70f58bffa7312cb50e4dab693f0eed88c35a88838917e30b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "860722cac4d68cb9354d46dc260e0214f0c550291eaac1e5f4aa97cc59a9112e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-28T09:25:26Z",
    "title_canon_sha256": "256284dade5c2f018a0736def280170013508a37df9302882bbac2403901eda1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4561",
    "kind": "arxiv",
    "version": 1
  }
}