Pith Number

pith:FQ3FPV4G

pith:2016:FQ3FPV4GZKLZT73V4ILBICI6Z4

not attested not anchored not stored refs pending

Distribution of singular values of random band matrices; Marchenko-Pastur law and more

Alexander Soshnikov, Indrajit Jana

arxiv:1610.02153 v3 · 2016-10-07 · 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{FQ3FPV4GZKLZT73V4ILBICI6Z4}

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	2026-05-18T00:39:01.842752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3657d786ca9799ff75e21614091ecf394508144c959036af7416c2e4219715

Aliases

arxiv: 1610.02153 · arxiv_version: 1610.02153v3 · doi: 10.48550/arxiv.1610.02153 · pith_short_12: FQ3FPV4GZKLZ · pith_short_16: FQ3FPV4GZKLZT73V · pith_short_8: FQ3FPV4G

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/FQ3FPV4GZKLZT73V4ILBICI6Z4 \
  | 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: 2c3657d786ca9799ff75e21614091ecf394508144c959036af7416c2e4219715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffbeb688b2d32a74595e43e47e64b90833446b1d1306fcb11572966fc4621f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-07T06:13:05Z",
    "title_canon_sha256": "b15413395227844ac2cea826ca1b5b300674259f6ced14015917f27547c7c762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02153",
    "kind": "arxiv",
    "version": 3
  }
}