Pith Number

pith:FOYX2XT5

pith:2015:FOYX2XT5FGPDMANUNI5H5MSE2L

not attested not anchored not stored refs pending

Qubit stabilizer states are complex projective 3-designs

David Gross, Richard Kueng

arxiv:1510.02767 v1 · 2015-10-09 · quant-ph · cs.IT · math.IT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOYX2XT5FGPDMANUNI5H5MSE2L}

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.

Cited by

4 papers in Pith

(Pseudo) Random Quantum States with Binary Phase

Mutually Unbiased Bases in Composite Dimensions -- A Review

Quantum Complexity and New Directions in Nuclear Physics and High-Energy Physics Phenomenology

Single-copy stabilizer learning: average case and worst case

Receipt and verification

First computed	2026-05-18T01:30:41.535974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb17d5e7d299e3601b46a3a7eb244d2d78bd3fed05e7711378ddabe7db29992

Aliases

arxiv: 1510.02767 · arxiv_version: 1510.02767v1 · doi: 10.48550/arxiv.1510.02767 · pith_short_12: FOYX2XT5FGPD · pith_short_16: FOYX2XT5FGPDMANU · pith_short_8: FOYX2XT5

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/FOYX2XT5FGPDMANUNI5H5MSE2L \
  | 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: 2bb17d5e7d299e3601b46a3a7eb244d2d78bd3fed05e7711378ddabe7db29992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3602654986fd15428180dd7c04980198824e56a6f57b6bf0322083db40b4ec",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-09T18:51:01Z",
    "title_canon_sha256": "0fd8c0dd18b8996330945ca17edde24281f9246af7d486b68495f39e40c48dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02767",
    "kind": "arxiv",
    "version": 1
  }
}