Pith Number

pith:ULXHDYF6

pith:2011:ULXHDYF6S77J6YMNLWUDCKEXZN

not attested not anchored not stored refs pending

Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states

Preeti Parashar, Swapan Rana

arxiv:1110.4597 v1 · 2011-10-20 · 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{ULXHDYF6S77J6YMNLWUDCKEXZN}

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	2026-05-18T02:42:15.369538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ee71e0be97fe9f618d5da8312897cb4c074ce64b9dddad730a8fa2c3f403b6

Aliases

arxiv: 1110.4597 · arxiv_version: 1110.4597v1 · doi: 10.48550/arxiv.1110.4597 · pith_short_12: ULXHDYF6S77J · pith_short_16: ULXHDYF6S77J6YMN · pith_short_8: ULXHDYF6

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/ULXHDYF6S77J6YMNLWUDCKEXZN \
  | 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: a2ee71e0be97fe9f618d5da8312897cb4c074ce64b9dddad730a8fa2c3f403b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b6f5500cce1365779304ae2cb77919f553e736d533d385a82c90034d040f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-20T18:11:34Z",
    "title_canon_sha256": "57b7e3d78a2b813f0353c21ec244c84dbbcea4da47e804eef0cce61070d63764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4597",
    "kind": "arxiv",
    "version": 1
  }
}