Pith Number

pith:M2XAOAZR

pith:2010:M2XAOAZRZUOEHZ6GTT3DNJ7OFK

not attested not anchored not stored refs pending

Optimal local expansion of W states using linear optics and Fock states

Masato Koashi, Nobuyuki Imoto, Rikizo Ikuta, Takashi Yamamoto, Toshiyuki Tashima

arxiv:1004.0608 v2 · 2010-04-05 · 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{M2XAOAZRZUOEHZ6GTT3DNJ7OFK}

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	2026-05-18T04:20:22.327433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ae070331cd1c43e7c69cf636a7ee2ab8adfc9cd037dfe9589eeeb5b7425e76

Aliases

arxiv: 1004.0608 · arxiv_version: 1004.0608v2 · doi: 10.48550/arxiv.1004.0608 · pith_short_12: M2XAOAZRZUOE · pith_short_16: M2XAOAZRZUOEHZ6G · pith_short_8: M2XAOAZR

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/M2XAOAZRZUOEHZ6GTT3DNJ7OFK \
  | 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: 66ae070331cd1c43e7c69cf636a7ee2ab8adfc9cd037dfe9589eeeb5b7425e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1f84813a355a6434ad38db8c82e3076b7539053d5bef85890ccf11826426c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-05T10:41:36Z",
    "title_canon_sha256": "9146dde2cad993e527f87156808827a81588a45124a4517e0cfcadf45c0e07ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0608",
    "kind": "arxiv",
    "version": 2
  }
}