Pith Number

pith:W2ZQ4KJZ

pith:2012:W2ZQ4KJZSLDMKL5BQMWU3QYLF3

not attested not anchored not stored refs pending

Delocalization and Diffusion Profile for Random Band Matrices

Antti Knowles, Horng-Tzer Yau, Jun Yin, Laszlo Erdos

arxiv:1205.5669 v3 · 2012-05-25 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2ZQ4KJZSLDMKL5BQMWU3QYLF3}

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	2026-05-18T01:57:17.387939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b30e293992c6c52fa1832d4dc30b2efa3ce0f884327cca9dc02c949de59e84

Aliases

arxiv: 1205.5669 · arxiv_version: 1205.5669v3 · doi: 10.48550/arxiv.1205.5669 · pith_short_12: W2ZQ4KJZSLDM · pith_short_16: W2ZQ4KJZSLDMKL5B · pith_short_8: W2ZQ4KJZ

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/W2ZQ4KJZSLDMKL5BQMWU3QYLF3 \
  | 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: b6b30e293992c6c52fa1832d4dc30b2efa3ce0f884327cca9dc02c949de59e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2615fe3d8da8191135ae08ca2c6057550e9bc394f118dd091f550db49d8904ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-25T11:49:50Z",
    "title_canon_sha256": "bdfbe5a09ae5c2630a271959ad572bd597cdf32ce012fd51cfdc826677f16110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5669",
    "kind": "arxiv",
    "version": 3
  }
}