Pith Number

pith:GD3MC4ET

pith:2017:GD3MC4ETW5BCE447JVGPR4OCA5

not attested not anchored not stored refs pending

Eigenvalues of quantum walks of Grover and Fourier types

Takashi Komatsu, Tatsuya Tate

arxiv:1704.05236 v1 · 2017-04-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GD3MC4ETW5BCE447JVGPR4OCA5}

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	2026-05-18T00:46:11.456821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f6c17093b74222739f4d4cf8f1c2077bf01fc6efc54f4911eb6f37a33d214b

Aliases

arxiv: 1704.05236 · arxiv_version: 1704.05236v1 · doi: 10.48550/arxiv.1704.05236 · pith_short_12: GD3MC4ETW5BC · pith_short_16: GD3MC4ETW5BCE447 · pith_short_8: GD3MC4ET

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/GD3MC4ETW5BCE447JVGPR4OCA5 \
  | 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: 30f6c17093b74222739f4d4cf8f1c2077bf01fc6efc54f4911eb6f37a33d214b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb59775517e5a881be4515e482fc243d5dc925c5b500cccf43509b82d5f79ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-18T08:48:52Z",
    "title_canon_sha256": "d0fc8ac5c3c286447abf5850b0a135c12297574230146a6219768604bf0690e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05236",
    "kind": "arxiv",
    "version": 1
  }
}