Pith Number

pith:HPYQIPVV

pith:2003:HPYQIPVVK3FL5ZF7X27XYL7DMQ

not attested not anchored not stored refs pending

"Squashed Entanglement" - An Additive Entanglement Measure

Andreas Winter, Matthias Christandl

arxiv:quant-ph/0308088 v3 · 2003-08-16 · 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{HPYQIPVVK3FL5ZF7X27XYL7DMQ}

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

Harmony for 2-Qubit Entanglement

Receipt and verification

First computed	2026-05-18T01:37:59.177830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf1043eb556cabee4bfbebf7c2fe3642ecb73b6c725cf0a4c5aef92890dd766

Aliases

arxiv: quant-ph/0308088 · arxiv_version: quant-ph/0308088v3 · doi: 10.48550/arxiv.quant-ph/0308088 · pith_short_12: HPYQIPVVK3FL · pith_short_16: HPYQIPVVK3FL5ZF7 · pith_short_8: HPYQIPVV

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/HPYQIPVVK3FL5ZF7X27XYL7DMQ \
  | 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: 3bf1043eb556cabee4bfbebf7c2fe3642ecb73b6c725cf0a4c5aef92890dd766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5adaff589544aea7bcee8a8e561f3d6e3274cd64f2343f95cc8ff22701e14580",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-16T23:34:29Z",
    "title_canon_sha256": "443a8ef5ae96b2a1334a803b14b50abc2e3357876339e40edc2f55ed9442f37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308088",
    "kind": "arxiv",
    "version": 3
  }
}