Pith Number

pith:WDLBQKGS

pith:2005:WDLBQKGSPFEN3535CWHMOFE3TK

not attested not anchored not stored refs pending

Range criterion and classification of true entanglement in $2\times{M}\times{N}$ system

Lin Chen, Yi-Xin Chen

arxiv:quant-ph/0506152 v4 · 2005-06-18 · 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{WDLBQKGSPFEN3535CWHMOFE3TK}

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	2026-07-04T16:57:36.227857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d61828d27948ddf77d158ec7149b9aa98cfc873b962b32ecfea0cb6927210c

Aliases

arxiv: quant-ph/0506152 · arxiv_version: quant-ph/0506152v4 · doi: 10.48550/arxiv.quant-ph/0506152 · pith_short_12: WDLBQKGSPFEN · pith_short_16: WDLBQKGSPFEN3535 · pith_short_8: WDLBQKGS

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/WDLBQKGSPFEN3535CWHMOFE3TK \
  | 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: b0d61828d27948ddf77d158ec7149b9aa98cfc873b962b32ecfea0cb6927210c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c374ae4f2d4d1b7b9641987367ba4b1653461179d3fda1c0683d78e8600af08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-06-18T05:52:17Z",
    "title_canon_sha256": "7dc6554928e7e9b828a370ee31cac3b1645aec4083530fe6183c786de08e74c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0506152",
    "kind": "arxiv",
    "version": 4
  }
}