Pith Number

pith:V4HW2P2F

pith:2024:V4HW2P2F2JLU2URHHPSU64RO7E

not attested not anchored not stored refs pending

Injective norm of real and complex random tensors I: From spin glasses to geometric entanglement

Benjamin McKenna, Stephane Dartois

arxiv:2404.03627 v1 · 2024-04-04 · math.PR · math-ph · math.MP · 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{V4HW2P2F2JLU2URHHPSU64RO7E}

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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.

Cited by

1 paper in Pith

Joint distributions of eigenvectors of symmetric random tensors

Receipt and verification

First computed	2026-07-05T08:04:28.491827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0f6d3f45d2574d52273be54f722ef902eb456bc186f254d98c02465d9b05c7

Aliases

arxiv: 2404.03627 · arxiv_version: 2404.03627v1 · doi: 10.48550/arxiv.2404.03627 · pith_short_12: V4HW2P2F2JLU · pith_short_16: V4HW2P2F2JLU2URH · pith_short_8: V4HW2P2F

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/V4HW2P2F2JLU2URHHPSU64RO7E \
  | 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: af0f6d3f45d2574d52273be54f722ef902eb456bc186f254d98c02465d9b05c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfafe22d287ea1c957dbc7d86686f1cfbe0b4945b326701d6017f7038d00b7d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-04T17:49:23Z",
    "title_canon_sha256": "95b09096d7ff8829593474cafa7bc9f85091f7b3054f4adb051e20d81f75109a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.03627",
    "kind": "arxiv",
    "version": 1
  }
}