Pith Number

pith:D5PBN3WU

pith:2013:D5PBN3WUR7GQUBMH4FIG53BWQJ

not attested not anchored not stored refs pending

A Lower Bound for Fourier Transform Computation in a Linear Model Over 2x2 Unitary Gates Using Matrix Entropy

Nir Ailon

arxiv:1305.4745 v1 · 2013-05-21 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5PBN3WUR7GQUBMH4FIG53BWQJ}

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	2026-05-18T03:25:15.323241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5e16eed48fcd0a0587e1506eec3682438f50204c1bfdbeb0c0a64ad021a019

Aliases

arxiv: 1305.4745 · arxiv_version: 1305.4745v1 · doi: 10.48550/arxiv.1305.4745 · pith_short_12: D5PBN3WUR7GQ · pith_short_16: D5PBN3WUR7GQUBMH · pith_short_8: D5PBN3WU

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/D5PBN3WUR7GQUBMH4FIG53BWQJ \
  | 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: 1f5e16eed48fcd0a0587e1506eec3682438f50204c1bfdbeb0c0a64ad021a019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089355ec4f36605b96cc76ac191399ed9f829ccad0bc5abf36bc83719658a8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-21T07:58:28Z",
    "title_canon_sha256": "648ec0a992af823fab487f5749c3ef349fa990b2fb042ba56e350c9560477f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4745",
    "kind": "arxiv",
    "version": 1
  }
}