Pith Number

pith:M5C3545D

pith:2010:M5C3545DDCGSCSK5MVP25EHNJZ

not attested not anchored not stored refs pending

Complete solution for unambiguous discrimination of three pure states with real inner products

A. Hayashi, H. Sugimoto, M. Horibe, T. Hashimoto

arxiv:1007.5112 v3 · 2010-07-29 · 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{M5C3545DDCGSCSK5MVP25EHNJZ}

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	2026-05-18T04:39:59.047858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6745bef3a3188d21495d655fae90ed4e577e928e49464aa1476e337771415eca

Aliases

arxiv: 1007.5112 · arxiv_version: 1007.5112v3 · doi: 10.48550/arxiv.1007.5112 · pith_short_12: M5C3545DDCGS · pith_short_16: M5C3545DDCGSCSK5 · pith_short_8: M5C3545D

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/M5C3545DDCGSCSK5MVP25EHNJZ \
  | 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: 6745bef3a3188d21495d655fae90ed4e577e928e49464aa1476e337771415eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22d719d02b96875b654d2696d2ca4ba6d9d5bc965315d22aaa8ec7416487a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-29T05:35:30Z",
    "title_canon_sha256": "0b702e5f196c74a3ce8c6451522ce1c934e8f0927dcfb4556416fd379fc8ae2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5112",
    "kind": "arxiv",
    "version": 3
  }
}