Pith Number

pith:4I7CUXW6

pith:2020:4I7CUXW6SCD6FBDZBTED7J5KVB

not attested not anchored not stored refs pending

Un-Weyl-ing the Clifford Hierarchy

Narayanan Rengaswamy, Olav Tirkkonen, Robert Calderbank, Tefjol Pllaha

arxiv:2006.14040 v4 · 2020-06-24 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I7CUXW6SCD6FBDZBTED7J5KVB}

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	2026-07-05T01:59:50.456826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23e2a5ede9087e284790cc83fa7aaa868403db2df5d33586329751e5db81513

Aliases

arxiv: 2006.14040 · arxiv_version: 2006.14040v4 · doi: 10.48550/arxiv.2006.14040 · pith_short_12: 4I7CUXW6SCD6 · pith_short_16: 4I7CUXW6SCD6FBDZ · pith_short_8: 4I7CUXW6

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/4I7CUXW6SCD6FBDZBTED7J5KVB \
  | 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: e23e2a5ede9087e284790cc83fa7aaa868403db2df5d33586329751e5db81513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d69b5316dae2a9dc3dd68cc4b9275392253a16f06dd2ab820267fd4dfe3def6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-06-24T20:48:44Z",
    "title_canon_sha256": "c5a208436dcaf85ed0a691165c11c47932acc97b493ca16c9fbaf2f24fb4eae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14040",
    "kind": "arxiv",
    "version": 4
  }
}