Pith Number

pith:XJI5ZEP6

pith:2016:XJI5ZEP6XEM7XFPKGKS3KZR7HH

not attested not anchored not stored refs pending

Average distance of random pure states from maximally entangled and coherent states

Junde Wu, Kaifeng Bu, Lin Zhang, Uttam Singh

arxiv:1603.06715 v2 · 2016-03-22 · 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{XJI5ZEP6XEM7XFPKGKS3KZR7HH}

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	2026-05-18T01:16:34.597240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba51dc91feb919fb95ea32a5b5663f39cef714c3b82c174d29845238601ad4db

Aliases

arxiv: 1603.06715 · arxiv_version: 1603.06715v2 · doi: 10.48550/arxiv.1603.06715 · pith_short_12: XJI5ZEP6XEM7 · pith_short_16: XJI5ZEP6XEM7XFPK · pith_short_8: XJI5ZEP6

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/XJI5ZEP6XEM7XFPKGKS3KZR7HH \
  | 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: ba51dc91feb919fb95ea32a5b5663f39cef714c3b82c174d29845238601ad4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1864f74cfd847b8d6378aa2753f271443e8290b5b0dcf9409a927df827fa593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-22T09:40:16Z",
    "title_canon_sha256": "63e7888972c6f09b91189db0dd0634b5cd671956565c9f75f949f31b437d7b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06715",
    "kind": "arxiv",
    "version": 2
  }
}