Pith Number

pith:X47XE3UO

pith:2004:X47XE3UO5SOLLDMNB75ZH2NAV7

not attested not anchored not stored refs pending

Quantum marginal problem and representations of the symmetric group

Alexander Klyachko

arxiv:quant-ph/0409113 v1 · 2004-09-17 · 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{X47XE3UO5SOLLDMNB75ZH2NAV7}

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

3 papers in Pith

Many-Body Entanglement Properties of Finite Interacting Fermionic Hamiltonians

Quantum state determinability from local marginals is universally robust

Quantum State Engineering Under Multiple Expectation-Value Constraints

Receipt and verification

First computed	2026-07-04T14:46:41.065384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3f726e8eec9cb58d8d0ffb93e9a0afc559adcdfa3807631866bf1ee436baac

Aliases

arxiv: quant-ph/0409113 · arxiv_version: quant-ph/0409113v1 · doi: 10.48550/arxiv.quant-ph/0409113 · pith_short_12: X47XE3UO5SOL · pith_short_16: X47XE3UO5SOLLDMN · pith_short_8: X47XE3UO

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/X47XE3UO5SOLLDMNB75ZH2NAV7 \
  | 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: bf3f726e8eec9cb58d8d0ffb93e9a0afc559adcdfa3807631866bf1ee436baac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff54572ab9fa315a667645b46410246fbe76ab94c79d8cb8dbde969e6daa6ce6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-17T12:56:15Z",
    "title_canon_sha256": "3ea10517748759de44e4832c56a13e07724b3e74b223f2735285a39d762663b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409113",
    "kind": "arxiv",
    "version": 1
  }
}