Pith Number

pith:2N7KCYLT

pith:2001:2N7KCYLTMZ3PTRH5TYMY7EZLPA

not attested not anchored not stored refs pending

Random regularization of Brown spectral measure

Piotr Sniady

arxiv:math/0105109 v4 · 2001-05-12 · math.PR · cond-mat · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N7KCYLTMZ3PTRH5TYMY7EZLPA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:59:18.453598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454

Aliases

arxiv: math/0105109 · arxiv_version: math/0105109v4 · doi: 10.48550/arxiv.math/0105109 · pith_short_12: 2N7KCYLTMZ3P · pith_short_16: 2N7KCYLTMZ3PTRH5 · pith_short_8: 2N7KCYLT

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/2N7KCYLTMZ3PTRH5TYMY7EZLPA \
  | 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: d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d618e3a60b88817f49ee60c9a938866c0c2e3bdbc2e25c01b35bc3667b4233b",
    "cross_cats_sorted": [
      "cond-mat",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-05-12T23:38:52Z",
    "title_canon_sha256": "dc19e76fb5347c444bb9300c94c368f82b5f4373bf4283884d5524de38cf5325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105109",
    "kind": "arxiv",
    "version": 4
  }
}