Pith Number

pith:HOIEI42Q

pith:2011:HOIEI42Q2HONNLB2NNJS3NACX6

not attested not anchored not stored refs pending

Entanglement thresholds for random induced states

Deping Ye, Guillaume Aubrun, Stanislaw J. Szarek

arxiv:1106.2264 v3 · 2011-06-11 · quant-ph · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOIEI42Q2HONNLB2NNJS3NACX6}

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	2026-05-18T02:16:21.797274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b90447350d1dcd6ac3a6b532db402bfae9eb797d780732c36bf792dda3ff93a

Aliases

arxiv: 1106.2264 · arxiv_version: 1106.2264v3 · doi: 10.48550/arxiv.1106.2264 · pith_short_12: HOIEI42Q2HON · pith_short_16: HOIEI42Q2HONNLB2 · pith_short_8: HOIEI42Q

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/HOIEI42Q2HONNLB2NNJS3NACX6 \
  | 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: 3b90447350d1dcd6ac3a6b532db402bfae9eb797d780732c36bf792dda3ff93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910dea900f3970b71766b1c04a2c97a5841beda9ef0ea393f330ef1fae7e2e50",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-11T22:41:51Z",
    "title_canon_sha256": "2f0b51d7601e95ebb4d39611aae8252b2d693033888f2b9dc629bdbf18e0d9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2264",
    "kind": "arxiv",
    "version": 3
  }
}