pith. sign in
Pith Number

pith:5XHX4ZQI

pith:2012:5XHX4ZQIO6VL6ICWNREPXKE5I2
not attested not anchored not stored refs pending

Modified Kubo formula with a complex force term for weak measurement

Antonio Di Lorenzo

arxiv:1211.5632 v2 · 2012-11-24 · quant-ph · cond-mat.mes-hall · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5XHX4ZQIO6VL6ICWNREPXKE5I2}

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 2026-05-18T03:22:17.242454Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

edcf7e660877aabf20566c48fba89d4681ded8a271e84c3fc30b8867d0602628

Aliases

arxiv: 1211.5632 · arxiv_version: 1211.5632v2 · doi: 10.48550/arxiv.1211.5632 · pith_short_12: 5XHX4ZQIO6VL · pith_short_16: 5XHX4ZQIO6VL6ICW · pith_short_8: 5XHX4ZQI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5XHX4ZQIO6VL6ICWNREPXKE5I2 \
  | 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: edcf7e660877aabf20566c48fba89d4681ded8a271e84c3fc30b8867d0602628
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "081395d89c025a3a6cef882932a1e6d41d0482091aa0feca1b2dfdbffb960d43",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-24T01:13:25Z",
    "title_canon_sha256": "8c4f8ff853c958475055e635f62fcc1136fc2ca8e2f690d0264a765f0162d5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5632",
    "kind": "arxiv",
    "version": 2
  }
}