Pith Number

pith:VAUXUFHS

pith:2016:VAUXUFHSZYN2ULYJGXRUDMPNVM

not attested not anchored not stored refs pending

Optical analogy to quantum Fourier transform based on pseudorandom phase ensemble

Jian Fu, Wei Fang, Yongzheng Ye

arxiv:1607.08308 v2 · 2016-07-28 · 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{VAUXUFHSZYN2ULYJGXRUDMPNVM}

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	2026-05-18T01:09:06.176382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8297a14f2ce1baa2f0935e341b1edab0adebb7f94145255e712632b0fc3fbe5

Aliases

arxiv: 1607.08308 · arxiv_version: 1607.08308v2 · doi: 10.48550/arxiv.1607.08308 · pith_short_12: VAUXUFHSZYN2 · pith_short_16: VAUXUFHSZYN2ULYJ · pith_short_8: VAUXUFHS

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/VAUXUFHSZYN2ULYJGXRUDMPNVM \
  | 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: a8297a14f2ce1baa2f0935e341b1edab0adebb7f94145255e712632b0fc3fbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1a015d5015eeb251eb535635fce11c87ccdb963e5ded48195f8e6a313a1541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-28T03:48:52Z",
    "title_canon_sha256": "1929f108352060bb612fb1ad7f5a44ff0fc2843e417329482cea406f12a927e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08308",
    "kind": "arxiv",
    "version": 2
  }
}