Pith Number

pith:W3UNX5QB

pith:2021:W3UNX5QBT4VG4QQNOF2XQ6D6TY

not attested not anchored not stored refs pending

Lower bound for the T count via unitary stabilizer nullity

Jiaqing Jiang, Xin Wang

arxiv:2103.09999 v2 · 2021-03-18 · quant-ph · cs.CC · cs.IT · hep-th · 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{W3UNX5QBT4VG4QQNOF2XQ6D6TY}

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	2026-07-05T05:52:16.388759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e8dbf6019f2a6e420d717578787e9e1443834f333d261eca3f4733c329d6b4

Aliases

arxiv: 2103.09999 · arxiv_version: 2103.09999v2 · doi: 10.48550/arxiv.2103.09999 · pith_short_12: W3UNX5QBT4VG · pith_short_16: W3UNX5QBT4VG4QQN · pith_short_8: W3UNX5QB

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/W3UNX5QBT4VG4QQNOF2XQ6D6TY \
  | 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: b6e8dbf6019f2a6e420d717578787e9e1443834f333d261eca3f4733c329d6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4dbe330bfd93c7a5f3883e0117f8ed401e761cfb4ab47e8e2bfece44436ae9",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "hep-th",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-18T03:16:46Z",
    "title_canon_sha256": "fdeb5e23830b0b710649f440a4f33a9d45446d5ccc67094e343b118f8f7019ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09999",
    "kind": "arxiv",
    "version": 2
  }
}