Pith Number

pith:O7KQ7TEM

pith:2019:O7KQ7TEML6JOUX27JJ2GVCCL27

not attested not anchored not stored refs pending

On sets of commuting and anticommuting Paulis

Ewout van den Berg, Rahul Sarkar

arxiv:1909.08123 v2 · 2019-09-17 · quant-ph · math-ph · math.GR · 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{O7KQ7TEML6JOUX27JJ2GVCCL27}

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

1 paper in Pith

TARE: Block Encoding Linear Combinations of Pauli Strings Without Ancilla State Preparation

Receipt and verification

First computed	2026-07-05T00:18:26.866160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d50fcc8c5f92ea5f5f4a746a884bd7c141f702629b1ace5dd36b9baaf3e5a3

Aliases

arxiv: 1909.08123 · arxiv_version: 1909.08123v2 · doi: 10.48550/arxiv.1909.08123 · pith_short_12: O7KQ7TEML6JO · pith_short_16: O7KQ7TEML6JOUX27 · pith_short_8: O7KQ7TEM

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/O7KQ7TEML6JOUX27JJ2GVCCL27 \
  | 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: 77d50fcc8c5f92ea5f5f4a746a884bd7c141f702629b1ace5dd36b9baaf3e5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b247ee722fff5d03b831634fdc5bd84569e38da50121d78e4d4efe9acf4bef",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-09-17T21:52:29Z",
    "title_canon_sha256": "513bb7172a98cea1bc84f56d68e1128937aae6abcaeedf3be48860e979860d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08123",
    "kind": "arxiv",
    "version": 2
  }
}