Pith Number

pith:DORNK3VM

pith:2015:DORNK3VMGUVGQP76CGKWFNAIRU

not attested not anchored not stored refs pending

Entanglement cost and entangling power of bipartite unitary and permutation operators

Lin Chen, Li Yu

arxiv:1507.05260 v4 · 2015-07-19 · 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{DORNK3VMGUVGQP76CGKWFNAIRU}

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	2026-05-18T01:16:33.342830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba2d56eac352a683ffe119562b4088d12dca05345f95644828ef79f5bc04651

Aliases

arxiv: 1507.05260 · arxiv_version: 1507.05260v4 · doi: 10.48550/arxiv.1507.05260 · pith_short_12: DORNK3VMGUVG · pith_short_16: DORNK3VMGUVGQP76 · pith_short_8: DORNK3VM

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/DORNK3VMGUVGQP76CGKWFNAIRU \
  | 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: 1ba2d56eac352a683ffe119562b4088d12dca05345f95644828ef79f5bc04651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95909e2169bb7d2aba62932f289e384fbe6cd582c623b89a59f62edb6e08ce47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-07-19T08:10:14Z",
    "title_canon_sha256": "8d52c260222c6c3e69abebb5309a6ceb9972572ea4efdd1a8911f0801df7823b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05260",
    "kind": "arxiv",
    "version": 4
  }
}