Pith Number

pith:B5DM6CXL

pith:2011:B5DM6CXLL5QZC6R6VVWIZTD4PG

not attested not anchored not stored refs pending

Phase-random states: ensembles of states with fixed amplitudes and uniformly distributed phases in a fixed basis

Mio Murao, Peter S. Turner, Yoshifumi Nakata

arxiv:1111.2747 v4 · 2011-11-11 · 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{B5DM6CXLL5QZC6R6VVWIZTD4PG}

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	2026-05-18T02:21:34.763971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f46cf0aeb5f61917a3ead6c8ccc7c79853bda2ba19c8373cf8f8378f6e06783

Aliases

arxiv: 1111.2747 · arxiv_version: 1111.2747v4 · doi: 10.48550/arxiv.1111.2747 · pith_short_12: B5DM6CXLL5QZ · pith_short_16: B5DM6CXLL5QZC6R6 · pith_short_8: B5DM6CXL

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/B5DM6CXLL5QZC6R6VVWIZTD4PG \
  | 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: 0f46cf0aeb5f61917a3ead6c8ccc7c79853bda2ba19c8373cf8f8378f6e06783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af68e87d15f262a0f7cbf4ff5b39472e9f9beb9ac190ba3ca5f7495b9ec8092b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-11T14:05:33Z",
    "title_canon_sha256": "5d9a9809052aed23c2fe40ec137b82c0d3d98fa6b6fdb14755aa559feeaddc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2747",
    "kind": "arxiv",
    "version": 4
  }
}