Pith Number

pith:PBJBDHEW

pith:2026:PBJBDHEWFL7QMTCH63XTBSYVVI

not attested not anchored not stored refs pending

Entanglement Distillation of some Rank-Five Symmetric NPT States in Two-Qutrit Systems

Lin Chen, Mingju Liu, Yuwei Lei, Zihua Song

arxiv:2608.03710 v1 · 2026-08-04 · 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{PBJBDHEWFL7QMTCH63XTBSYVVI}

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	2026-08-05T01:36:56.384044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7852119c962aff064c47f6ef30cb15aa0e5dc429e1231d3851be5b0cdded5966

Aliases

arxiv: 2608.03710 · arxiv_version: 2608.03710v1 · doi: 10.48550/arxiv.2608.03710 · pith_short_12: PBJBDHEWFL7Q · pith_short_16: PBJBDHEWFL7QMTCH · pith_short_8: PBJBDHEW

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/PBJBDHEWFL7QMTCH63XTBSYVVI \
  | 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: 7852119c962aff064c47f6ef30cb15aa0e5dc429e1231d3851be5b0cdded5966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87252e364ead55ad08a69cc3381de95eb44b878c631dbd2edbea2df25cb3da0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-04T14:15:52Z",
    "title_canon_sha256": "6400a4ce3ff8211666963d1a4db5c379531f84594ba759fdcbb3cc93bcada9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03710",
    "kind": "arxiv",
    "version": 1
  }
}