Pith Number

pith:X3DVNQAK

pith:2009:X3DVNQAKHAXVAMCBNIM3WK52MN

not attested not anchored not stored refs pending

The Schmidt number as a universal entanglement measure

J. Sperling, W. Vogel

arxiv:0908.3974 v3 · 2009-08-27 · 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{X3DVNQAKHAXVAMCBNIM3WK52MN}

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	2026-05-18T04:27:15.202288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec756c00a382f5030416a19bb2bba6358116095ed774ebbd526ef93c2dec064

Aliases

arxiv: 0908.3974 · arxiv_version: 0908.3974v3 · doi: 10.48550/arxiv.0908.3974 · pith_short_12: X3DVNQAKHAXV · pith_short_16: X3DVNQAKHAXVAMCB · pith_short_8: X3DVNQAK

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/X3DVNQAKHAXVAMCBNIM3WK52MN \
  | 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: bec756c00a382f5030416a19bb2bba6358116095ed774ebbd526ef93c2dec064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504359c960866324fc4c4e12e40ac51d70fbbc63fccc59ff995bbafda86734e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-08-27T10:20:58Z",
    "title_canon_sha256": "dd4ae5497f12c0414b16f70c93ed7499614065e061d4d3f70bd5ffd7be62e472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3974",
    "kind": "arxiv",
    "version": 3
  }
}