Pith Number

pith:OU2BZNJK

pith:2026:OU2BZNJKKC6HHBD3OOHAWDKLCU

not attested not anchored not stored refs pending

Enhancing Entanglement Purification with Shared Randomness

Allen Zang, Bikun Li, Eric Chitambar, Liang Jiang, Martin Suchara, Tian Zhong, Xinan Chen

arxiv:2607.21555 v1 · 2026-07-23 · 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{OU2BZNJKKC6HHBD3OOHAWDKLCU}

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	2026-07-24T01:24:39.397265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75341cb52a50bc73847b738e0b0d4b150b7b65df0b663d008f5387d615fd6a9d

Aliases

arxiv: 2607.21555 · arxiv_version: 2607.21555v1 · doi: 10.48550/arxiv.2607.21555 · pith_short_12: OU2BZNJKKC6H · pith_short_16: OU2BZNJKKC6HHBD3 · pith_short_8: OU2BZNJK

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/OU2BZNJKKC6HHBD3OOHAWDKLCU \
  | 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: 75341cb52a50bc73847b738e0b0d4b150b7b65df0b663d008f5387d615fd6a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407683991f8ea5b7937ce019c714ce13cbd8fee9df62e6ebb16f0a7ec40f0f8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T17:37:35Z",
    "title_canon_sha256": "28dca20fcc3e59d55a22d97d35483790246ac22fda494af5462a443ae327ae73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21555",
    "kind": "arxiv",
    "version": 1
  }
}