Pith Number

pith:4WWHUV4Z

pith:2019:4WWHUV4ZTJOJH2EHP7LGCKCXVN

not attested not anchored not stored refs pending

Graphical Fourier Theory and the Cost of Quantum Addition

Aleks Kissinger, John van de Wetering, Stach Kuijpers

arxiv:1904.07551 v1 · 2019-04-16 · 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{4WWHUV4ZTJOJH2EHP7LGCKCXVN}

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	2026-05-17T23:48:24.881432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ac7a57999a5c93e8877fd6612857ab69ec08ee7c8a767a5d74572a432597f3

Aliases

arxiv: 1904.07551 · arxiv_version: 1904.07551v1 · doi: 10.48550/arxiv.1904.07551 · pith_short_12: 4WWHUV4ZTJOJ · pith_short_16: 4WWHUV4ZTJOJH2EH · pith_short_8: 4WWHUV4Z

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/4WWHUV4ZTJOJH2EHP7LGCKCXVN \
  | 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: e5ac7a57999a5c93e8877fd6612857ab69ec08ee7c8a767a5d74572a432597f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0f551ca7e580d8ebf3b148824d72a9d64cff4f01c86322e59e255e36e551a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-04-16T09:31:02Z",
    "title_canon_sha256": "37366787a3c2d10c068ca2bfe098b241aed4217fbd48e14fc2e891ccbe76318d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07551",
    "kind": "arxiv",
    "version": 1
  }
}