Pith Number

pith:EJVV2ZJT

pith:2008:EJVV2ZJTWRZ37KMS342MFPY7TV

not attested not anchored not stored refs pending

Higher Order Decompositions of Ordered Operator Exponentials

Barry C. Sanders (U Calgary), Dominic W. Berry (Macquarie University), Nathan Wiebe (U Calgary), Peter Hoyer (U Calgary)

arxiv:0812.0562 v3 · 2008-12-02 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJVV2ZJTWRZ37KMS342MFPY7TV}

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	2026-07-04T17:22:51.534433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226b5d6533b473bfa992df34c2bf1f9d4cde50c8b920117409e302f5dc34b585

Aliases

arxiv: 0812.0562 · arxiv_version: 0812.0562v3 · doi: 10.48550/arxiv.0812.0562 · pith_short_12: EJVV2ZJTWRZ3 · pith_short_16: EJVV2ZJTWRZ37KMS · pith_short_8: EJVV2ZJT

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/EJVV2ZJTWRZ37KMS342MFPY7TV \
  | 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: 226b5d6533b473bfa992df34c2bf1f9d4cde50c8b920117409e302f5dc34b585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8275cfb1b6a2bd8b8fc26dc3d78565170635ed969882480a1d3e012070ae6529",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-02T18:07:39Z",
    "title_canon_sha256": "ac34ffa9833973fddb6b90ac3101a211a9a9fca298b1333711efab6d7190e669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0562",
    "kind": "arxiv",
    "version": 3
  }
}