Pith Number

pith:ARFPX25J

pith:2017:ARFPX25JW7WQKGVJDSRPHU6K6J

not attested not anchored not stored refs pending

Empirical spectral distribution of a matrix under perturbation

Alk\'eos Micha\"il, Florent Benaych-Georges, Nathana\"el Enriquez

arxiv:1701.02597 v4 · 2017-01-10 · 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{ARFPX25JW7WQKGVJDSRPHU6K6J}

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	2026-05-18T00:33:59.527736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044afbeba9b7ed051aa91ca2f3d3caf279764bbdd14d55690c59bbe95cf47921

Aliases

arxiv: 1701.02597 · arxiv_version: 1701.02597v4 · doi: 10.48550/arxiv.1701.02597 · pith_short_12: ARFPX25JW7WQ · pith_short_16: ARFPX25JW7WQKGVJ · pith_short_8: ARFPX25J

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/ARFPX25JW7WQKGVJDSRPHU6K6J \
  | 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: 044afbeba9b7ed051aa91ca2f3d3caf279764bbdd14d55690c59bbe95cf47921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6cdbac8d7e326196faeac0a519633a5b28ab3ddd51612e84cd1bb7d63903436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-10T14:03:39Z",
    "title_canon_sha256": "4092cde69c9941669fb7ba3ffdee16f57f2cbd2dd49c8c01f7210f9265cd0dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02597",
    "kind": "arxiv",
    "version": 4
  }
}