Pith Number

pith:ENYPIUV2

pith:2018:ENYPIUV274WLNU6POOQNG7CMJ3

not attested not anchored not stored refs pending

Efficient quantum tensor product expanders and unitary t-designs via the zigzag product

Pranab Sen

arxiv:1808.10521 v2 · 2018-08-30 · 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{ENYPIUV274WLNU6POOQNG7CMJ3}

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	2026-05-18T00:06:22.306738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2370f452baff2cb6d3cf73a0d37c4c4ef985b3f20d8a36cae5cb94232d84bf7d

Aliases

arxiv: 1808.10521 · arxiv_version: 1808.10521v2 · doi: 10.48550/arxiv.1808.10521 · pith_short_12: ENYPIUV274WL · pith_short_16: ENYPIUV274WLNU6P · pith_short_8: ENYPIUV2

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/ENYPIUV274WLNU6POOQNG7CMJ3 \
  | 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: 2370f452baff2cb6d3cf73a0d37c4c4ef985b3f20d8a36cae5cb94232d84bf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d82aa8ddbed444b3531f33efd72e1d4711d5d78f9eff29b453ef5466203fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-08-30T21:10:52Z",
    "title_canon_sha256": "8e46e94e0bde96676ca40bba9b14333c5c4ac5e0c6470054cb9e9d2357d0c281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10521",
    "kind": "arxiv",
    "version": 2
  }
}