Pith Number

pith:Q5OIU5PO

pith:2011:Q5OIU5POMYPRENDM66YIUA3WZY

not attested not anchored not stored refs pending

Universal Probability Distribution for the Wave Function of a Quantum System Entangled with Its Environment

Christian Mastrodonato, Joel L. Lebowitz, Nino Zanghi, Roderich Tumulka, Sheldon Goldstein

arxiv:1104.5482 v2 · 2011-04-28 · math-ph · math.MP · 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{Q5OIU5POMYPRENDM66YIUA3WZY}

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

Grand-Canonical Typicality

Receipt and verification

First computed	2026-05-18T01:12:58.992580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af

Aliases

arxiv: 1104.5482 · arxiv_version: 1104.5482v2 · doi: 10.48550/arxiv.1104.5482 · pith_short_12: Q5OIU5POMYPR · pith_short_16: Q5OIU5POMYPRENDM · pith_short_8: Q5OIU5PO

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/Q5OIU5POMYPRENDM66YIUA3WZY \
  | 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: 875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5405e13740030442464681abff42bcca4a4e2a117139a14a4da20d1de57330c",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-28T19:36:59Z",
    "title_canon_sha256": "7c2f3d67a90c898fc9556e81c98a165b00e5ce7dd820abd3d92f0d2a0695ebbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5482",
    "kind": "arxiv",
    "version": 2
  }
}