Pith Number

pith:DNGQ725L

pith:2011:DNGQ725LJ4Y6HHBMYIC56OYDNM

not attested not anchored not stored refs pending

Complex joint probabilities as expressions of determinism in quantum mechanics

Holger F. Hofmann

arxiv:1107.0536 v2 · 2011-07-04 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNGQ725LJ4Y6HHBMYIC56OYDNM}

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.

Cited by

1 paper in Pith

Size Operator and Spectral Clustering in the Two Coupled SYK Model

Receipt and verification

First computed	2026-05-18T03:57:12.868804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4d0febab4f31e39c2cc205df3b036b34d24a88d4cc29e61a3989631554a8da

Aliases

arxiv: 1107.0536 · arxiv_version: 1107.0536v2 · doi: 10.48550/arxiv.1107.0536 · pith_short_12: DNGQ725LJ4Y6 · pith_short_16: DNGQ725LJ4Y6HHBM · pith_short_8: DNGQ725L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DNGQ725LJ4Y6HHBMYIC56OYDNM \
  | 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: 1b4d0febab4f31e39c2cc205df3b036b34d24a88d4cc29e61a3989631554a8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d71f564fdce4772b252fe4392aa834c7cbd3f89cfea914ff6b238dd7093a062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-04T06:11:10Z",
    "title_canon_sha256": "92435cb166c508df1ba799e25b095409609ec5ed2acf529e26a9d4a737d7a6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0536",
    "kind": "arxiv",
    "version": 2
  }
}