Pith Number

pith:XFXCTYER

pith:2015:XFXCTYERY4PQMESJAR7X3ONRRN

not attested not anchored not stored refs pending

Quantum superreplication of states and gates

Giulio Chiribella, Yuxiang Yang

arxiv:1512.05839 v3 · 2015-12-18 · quant-ph · cs.CC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFXCTYERY4PQMESJAR7X3ONRRN}

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	2026-05-18T00:16:39.222839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96e29e091c71f061249047f7db9b18b4533bccb16e78cc903623213101dcdcc

Aliases

arxiv: 1512.05839 · arxiv_version: 1512.05839v3 · doi: 10.48550/arxiv.1512.05839 · pith_short_12: XFXCTYERY4PQ · pith_short_16: XFXCTYERY4PQMESJ · pith_short_8: XFXCTYER

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/XFXCTYERY4PQMESJAR7X3ONRRN \
  | 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: b96e29e091c71f061249047f7db9b18b4533bccb16e78cc903623213101dcdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94a075e995db6527333307370a06ea8db77b6ce1b3554d888f47583b2030bfe",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-18T01:12:51Z",
    "title_canon_sha256": "5cabea9d9fad80f69214d54cf7b364e7f1ecd3476b2e4c579b9af01758cf98ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05839",
    "kind": "arxiv",
    "version": 3
  }
}