Pith Number

pith:XNF6UUD5

pith:2019:XNF6UUD5VVZZRXHET4XLKZI7P7

not attested not anchored not stored refs pending

Unitary $t$-designs from $relaxed$ seeds

Damian Markham, Joe Ghalbouni, Joseph Dgheim, Rawad Mezher

arxiv:1911.03704 v2 · 2019-11-09 · 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{XNF6UUD5VVZZRXHET4XLKZI7P7}

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	2026-07-05T00:41:46.009400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4bea507dad7398dce49f2eb5651f7fd4c54fa03216d2c10f657f762a394b15

Aliases

arxiv: 1911.03704 · arxiv_version: 1911.03704v2 · doi: 10.48550/arxiv.1911.03704 · pith_short_12: XNF6UUD5VVZZ · pith_short_16: XNF6UUD5VVZZRXHE · pith_short_8: XNF6UUD5

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/XNF6UUD5VVZZRXHET4XLKZI7P7 \
  | 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: bb4bea507dad7398dce49f2eb5651f7fd4c54fa03216d2c10f657f762a394b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addf9de0a65e81df40dc35d3702ff75a84be06002c55aba2a2f40ddd83150399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-11-09T14:53:42Z",
    "title_canon_sha256": "82cd0e967266e0ed4a21c5cb94e4f72081025f1ceef40b8f05dc6d7d60d94839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.03704",
    "kind": "arxiv",
    "version": 2
  }
}