Pith Number

pith:U76B3VTH

pith:2008:U76B3VTHB7SWUVW7SGW6WQ6WQ7

not attested not anchored not stored refs pending

Critical and noncritical long range entanglement in the Klein-Gordon field

A. Retzker, B. Reznik, M. B. Plenio, S. Marcovitch

arxiv:0811.1288 v1 · 2008-11-08 · 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{U76B3VTHB7SWUVW7SGW6WQ6WQ7}

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	2026-05-18T03:24:42.648266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fc1dd6670fe56a56df91adeb43d687eb41ff52bf6b2457a78963744c8a7d24

Aliases

arxiv: 0811.1288 · arxiv_version: 0811.1288v1 · doi: 10.48550/arxiv.0811.1288 · pith_short_12: U76B3VTHB7SW · pith_short_16: U76B3VTHB7SWUVW7 · pith_short_8: U76B3VTH

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/U76B3VTHB7SWUVW7SGW6WQ6WQ7 \
  | 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: a7fc1dd6670fe56a56df91adeb43d687eb41ff52bf6b2457a78963744c8a7d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b81cd57248fb9d3f839babd4c0b95c44e89e44ef1f2d71a2ffea6a1b73eb636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-11-08T21:06:09Z",
    "title_canon_sha256": "87923cce4b94e8d612de7ce99231f7776182256dc34c7a02e50dcb77f3276a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1288",
    "kind": "arxiv",
    "version": 1
  }
}