Pith Number

pith:7U4O6WTE

pith:2013:7U4O6WTEZZ736ARP6CIGUUHZAT

not attested not anchored not stored refs pending

On an Extension Problem for Density Matrices

Elliott H. Lieb, Eric A. Carlen, Joel L. Lebowitz

arxiv:1301.4605 v1 · 2013-01-19 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U4O6WTEZZ736ARP6CIGUUHZAT}

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	2026-05-18T01:52:05.507637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd38ef5a64ce7fbf022ff0906a50f904e0b56953ff3a53c96378a2a0614f8f17

Aliases

arxiv: 1301.4605 · arxiv_version: 1301.4605v1 · doi: 10.48550/arxiv.1301.4605 · pith_short_12: 7U4O6WTEZZ73 · pith_short_16: 7U4O6WTEZZ736ARP · pith_short_8: 7U4O6WTE

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/7U4O6WTEZZ736ARP6CIGUUHZAT \
  | 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: fd38ef5a64ce7fbf022ff0906a50f904e0b56953ff3a53c96378a2a0614f8f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6a74c1240c66c3b3d9b0ef861b9ed5780d115db5bc66535e6299305e317ce2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-19T23:00:21Z",
    "title_canon_sha256": "29235636d4c8570d441517acf3896813c53248801da4d90a3daf619c59348c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4605",
    "kind": "arxiv",
    "version": 1
  }
}