Pith Number

pith:WE3MF6MP

pith:2025:WE3MF6MPO4SK57ZKHKUSP3NFBK

not attested not anchored not stored refs pending

Supporting hyperplanes for Schmidt numbers and Schmidt number witnesses

Kyung Hoon Han, Seung-Hyeok Kye

arxiv:2506.03733 v3 · 2025-06-04 · 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{WE3MF6MPO4SK57ZKHKUSP3NFBK}

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	2026-07-05T12:04:35.689571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b136c2f98f7724aeff2a3aa927eda50aa6e69fd016ad63fd39dce48c1fd679bc

Aliases

arxiv: 2506.03733 · arxiv_version: 2506.03733v3 · doi: 10.48550/arxiv.2506.03733 · pith_short_12: WE3MF6MPO4SK · pith_short_16: WE3MF6MPO4SK57ZK · pith_short_8: WE3MF6MP

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/WE3MF6MPO4SK57ZKHKUSP3NFBK \
  | 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: b136c2f98f7724aeff2a3aa927eda50aa6e69fd016ad63fd39dce48c1fd679bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9d5b8a4b70522a946e14cd99013f0966df64a14cd2ab692cc269caaf2d4ad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-04T09:06:22Z",
    "title_canon_sha256": "78b17dbd6c250627ad1e016624fa97caacd597b1c0cdc0fe72798bf395a6674b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03733",
    "kind": "arxiv",
    "version": 3
  }
}