Pith Number

pith:N3NNQNHW

pith:2025:N3NNQNHWWUJCLSHUWZC47CKVXD

not attested not anchored not stored refs pending

Realignment Criterion: A necessary and sufficient condition for two-qubit $X$-states

Aakhyat Bagga, Amish Gogia, Mukhtiyar Singh, Satyabrata Adhikari

arxiv:2506.23727 v1 · 2025-06-30 · 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{N3NNQNHWWUJCLSHUWZC47CKVXD}

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	2026-07-05T11:29:27.144623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6edad834f6b51225c8f4b645cf8955b8fcc9739b98f0714813d3be1ce4cf0258

Aliases

arxiv: 2506.23727 · arxiv_version: 2506.23727v1 · doi: 10.48550/arxiv.2506.23727 · pith_short_12: N3NNQNHWWUJC · pith_short_16: N3NNQNHWWUJCLSHU · pith_short_8: N3NNQNHW

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/N3NNQNHWWUJCLSHUWZC47CKVXD \
  | 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: 6edad834f6b51225c8f4b645cf8955b8fcc9739b98f0714813d3be1ce4cf0258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4494d90859e2746a025dbbd5073359b6ce36bce8fb09c55dc51bd56206ddd696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-30T11:03:40Z",
    "title_canon_sha256": "8b9dea177ac50eb9f6479eccb013b649fcdf0730ba2b53d8e5fb53ca6f45372c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23727",
    "kind": "arxiv",
    "version": 1
  }
}