Pith. sign in
Pith Number

pith:57ZZUBGZ

pith:2006:57ZZUBGZGYZIARY2BZPHIYNREV
not attested not anchored not stored refs pending

How often is the coordinate of a harmonic oscillator positive?

Boris Tsirelson

arxiv:quant-ph/0611147 v1 · 2006-11-14 · quant-ph · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{57ZZUBGZGYZIARY2BZPHIYNREV}

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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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-04T14:57:47.569939Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eff39a04d9363280471a0e5e7461b12560fdefa9d155ea7c04e1707358921cf4

Aliases

arxiv: quant-ph/0611147 · arxiv_version: quant-ph/0611147v1 · doi: 10.48550/arxiv.quant-ph/0611147 · pith_short_12: 57ZZUBGZGYZI · pith_short_16: 57ZZUBGZGYZIARY2 · pith_short_8: 57ZZUBGZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/57ZZUBGZGYZIARY2BZPHIYNREV \
  | 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: eff39a04d9363280471a0e5e7461b12560fdefa9d155ea7c04e1707358921cf4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8d0901c94ef1c7d33f6009fd7dbe8c990696d1dfc8b1ba971afb599baaad197",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-14T07:08:30Z",
    "title_canon_sha256": "c25143b36942bbfa6b7880a0ba413245591c3225ad1ec2d44a8a821cd0e698e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611147",
    "kind": "arxiv",
    "version": 1
  }
}