Pith Number

pith:PMSCCWBY

pith:2018:PMSCCWBYHGYH7KFYF37QVUIO5U

not attested not anchored not stored refs pending

A quantum Johnson-Lindenstrauss lemma via unitary t-designs

Pranab Sen

arxiv:1807.08779 v1 · 2018-07-23 · 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{PMSCCWBYHGYH7KFYF37QVUIO5U}

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	2026-05-18T00:09:57.885376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2421583839b07fa8b82eff0ad10eed33359ceae0ef11b4d216f7aea9fb43b4

Aliases

arxiv: 1807.08779 · arxiv_version: 1807.08779v1 · doi: 10.48550/arxiv.1807.08779 · pith_short_12: PMSCCWBYHGYH · pith_short_16: PMSCCWBYHGYH7KFY · pith_short_8: PMSCCWBY

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/PMSCCWBYHGYH7KFYF37QVUIO5U \
  | 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: 7b2421583839b07fa8b82eff0ad10eed33359ceae0ef11b4d216f7aea9fb43b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c356100517507e1aefacc9d9af62252397508ca766cf0ced3003b9c2763acb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-23T18:38:35Z",
    "title_canon_sha256": "241d488c226a2a571d4610d2abbeea12b701948da7f236f0e77baef69e944481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08779",
    "kind": "arxiv",
    "version": 1
  }
}