Pith Number

pith:HVKBDIEM

pith:2003:HVKBDIEM7P4ODRJRCJMXISL7OX

not attested not anchored not stored refs pending

Lower bounds on the entanglement of formation for general Gaussian states

C. O. Escobar, G. Rigolin

arxiv:quant-ph/0307023 v2 · 2003-07-03 · 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{HVKBDIEM7P4ODRJRCJMXISL7OX}

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	2026-05-18T01:05:03.938231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d5411a08cfbf8e1c531125974497f75e251d07e32c2c4a41991e8de365a2771

Aliases

arxiv: quant-ph/0307023 · arxiv_version: quant-ph/0307023v2 · doi: 10.48550/arxiv.quant-ph/0307023 · pith_short_12: HVKBDIEM7P4O · pith_short_16: HVKBDIEM7P4ODRJR · pith_short_8: HVKBDIEM

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/HVKBDIEM7P4ODRJRCJMXISL7OX \
  | 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: 3d5411a08cfbf8e1c531125974497f75e251d07e32c2c4a41991e8de365a2771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf7ab0429e4be68ddc3191094c2035e96f7fac42e5c3fa9f8bcc9d9bf58acf2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-03T18:13:56Z",
    "title_canon_sha256": "dfb080fe26bdb6251c7ad335526ece75d4558510faecfe16096eeb069a103b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307023",
    "kind": "arxiv",
    "version": 2
  }
}