Pith Number

pith:EAAQK6PO

pith:2026:EAAQK6POYKV6JX5IUR44AVZ3BE

not attested not anchored not stored refs pending

Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions

Kishor Bharti, Rishikesh Gajjala, Tobias Haug

arxiv:2607.24479 v1 · 2026-07-27 · 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{EAAQK6POYKV6JX5IUR44AVZ3BE}

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.

Cited by

1 paper in Pith

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension

Receipt and verification

First computed	2026-07-28T02:24:05.844196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20010579eec2abe4dfa8a479c0573b09260258a2a33c551cc8ac42115d586871

Aliases

arxiv: 2607.24479 · arxiv_version: 2607.24479v1 · doi: 10.48550/arxiv.2607.24479 · pith_short_12: EAAQK6POYKV6 · pith_short_16: EAAQK6POYKV6JX5I · pith_short_8: EAAQK6PO

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/EAAQK6POYKV6JX5IUR44AVZ3BE \
  | 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: 20010579eec2abe4dfa8a479c0573b09260258a2a33c551cc8ac42115d586871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6291056590c8c3244d14430f3d76eb8a3ed27b234297f659ff968ed7d9588545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-27T14:14:26Z",
    "title_canon_sha256": "aa917ccf23d4a8c5fedc9e93a2d23c1dad464ea87c7a2eaaac23bce1501e2311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24479",
    "kind": "arxiv",
    "version": 1
  }
}