Pith Number

pith:VSP53LQZ

pith:2009:VSP53LQZHLONWHIT2XBQE3ACKU

not attested not anchored not stored refs pending

Random tensor theory: extending random matrix theory to random product states

Andris Ambainis, Aram W. Harrow, Matthew B. Hastings

arxiv:0910.0472 v2 · 2009-10-05 · quant-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSP53LQZHLONWHIT2XBQE3ACKU}

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	2026-05-18T04:02:53.056433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9fddae193adcdb1d13d5c3026c025501618d6e8b0afd99cc0752716a7f59c3

Aliases

arxiv: 0910.0472 · arxiv_version: 0910.0472v2 · doi: 10.48550/arxiv.0910.0472 · pith_short_12: VSP53LQZHLON · pith_short_16: VSP53LQZHLONWHIT · pith_short_8: VSP53LQZ

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/VSP53LQZHLONWHIT2XBQE3ACKU \
  | 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: ac9fddae193adcdb1d13d5c3026c025501618d6e8b0afd99cc0752716a7f59c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b419409d1064f529b5e4a380773045cbc526801a71bd9bd5d326285d45eb21",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-10-05T18:35:13Z",
    "title_canon_sha256": "482a09080d51f8f9214bc20c15fc1ef273383d8bde765d4084df279e1d39adb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0472",
    "kind": "arxiv",
    "version": 2
  }
}