Pith Number

pith:WJFXCPXR

pith:2009:WJFXCPXR3M6IT4KVDATXQEWPLU

not attested not anchored not stored refs pending

Quantum Fourier Transform Over Galois Rings

Yong Zhang

arxiv:0904.2560 v1 · 2009-04-16 · 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{WJFXCPXR3M6IT4KVDATXQEWPLU}

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

Calibrated hypergraph states: II calibrated hypergraph state construction and applications

Receipt and verification

First computed	2026-07-04T15:41:19.472220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24b713ef1db3c89f15518277812cf5d2416fd53f159ff2359770eb8254d5a3f

Aliases

arxiv: 0904.2560 · arxiv_version: 0904.2560v1 · doi: 10.48550/arxiv.0904.2560 · pith_short_12: WJFXCPXR3M6I · pith_short_16: WJFXCPXR3M6IT4KV · pith_short_8: WJFXCPXR

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/WJFXCPXR3M6IT4KVDATXQEWPLU \
  | 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: b24b713ef1db3c89f15518277812cf5d2416fd53f159ff2359770eb8254d5a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d712db15fa6a9102bcc114cb2f21386621cb9ffe0a08fb941e2a7dd3c5e9e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-04-16T18:51:43Z",
    "title_canon_sha256": "156f04ee1734e2d1ab603c1890bac08be9ad4420f969d53282de7ee67bef3b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2560",
    "kind": "arxiv",
    "version": 1
  }
}