Pith Number

pith:3RXUFNUS

pith:2004:3RXUFNUSA5RRHS37MWREUY5JSG

not attested not anchored not stored refs pending

Simplifying Schmidt number witnesses via higher-dimensional embeddings

Anna Sanpera, Dagmar Bruss, Florian Hulpke, Maciej Lewenstein

arxiv:quant-ph/0401118 v1 · 2004-01-20 · 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{3RXUFNUSA5RRHS37MWREUY5JSG}

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	2026-07-04T14:46:30.520469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6f42b692076313cb7f65a24a63a991999e8efc02f56da626b54adb53119d54

Aliases

arxiv: quant-ph/0401118 · arxiv_version: quant-ph/0401118v1 · doi: 10.48550/arxiv.quant-ph/0401118 · pith_short_12: 3RXUFNUSA5RR · pith_short_16: 3RXUFNUSA5RRHS37 · pith_short_8: 3RXUFNUS

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/3RXUFNUSA5RRHS37MWREUY5JSG \
  | 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: dc6f42b692076313cb7f65a24a63a991999e8efc02f56da626b54adb53119d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4a64a0c78d0359c6c2aa438c7cb4933c3d083351bb603a5e116c1ff5abed31",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-20T15:33:30Z",
    "title_canon_sha256": "e5bf8466ccc126eeddcc7e9c146d7e7fc15785fea7e3375fe4140b8fc19a21db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401118",
    "kind": "arxiv",
    "version": 1
  }
}