Pith Number

pith:2TN46OTY

pith:2003:2TN46OTYVCWCQX27EMV56VABO4

not attested not anchored not stored refs pending

Quantum operation, quantum Fourier transform and semi-definite programming

Mingsheng Ying, Runyao Duan, Yuan Feng, Zhengfeng Ji

arxiv:quant-ph/0304145 v2 · 2003-04-22 · 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{2TN46OTYVCWCQX27EMV56VABO4}

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	2026-07-04T16:42:29.423728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dbcf3a78a8ac285f5f232bdf54017711aebc793a7aea5eae5748bce52ec930

Aliases

arxiv: quant-ph/0304145 · arxiv_version: quant-ph/0304145v2 · doi: 10.48550/arxiv.quant-ph/0304145 · pith_short_12: 2TN46OTYVCWC · pith_short_16: 2TN46OTYVCWCQX27 · pith_short_8: 2TN46OTY

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/2TN46OTYVCWCQX27EMV56VABO4 \
  | 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: d4dbcf3a78a8ac285f5f232bdf54017711aebc793a7aea5eae5748bce52ec930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7bea2b33f5183434a59e6b33d5ad037a2c1bc094c7c7c3953009bb93342f251",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-04-22T12:50:24Z",
    "title_canon_sha256": "3a66c668c6e877b4c46757eda05cdf286e43fdde18f9b47a894774ad5c147524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0304145",
    "kind": "arxiv",
    "version": 2
  }
}