Pith Number

pith:SAQ25WZO

pith:2021:SAQ25WZOCHRSOLXUM5IUCFGFVL

not attested not anchored not stored refs pending

Higher order fluctuations of extremal eigenvalues of sparse random matrices

Jaehun Lee

arxiv:2108.11634 v4 · 2021-08-26 · 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{SAQ25WZOCHRSOLXUM5IUCFGFVL}

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.

Cited by

1 paper in Pith

Matrix Completion via Residual Spectral Matching

Receipt and verification

First computed	2026-07-05T06:18:14.964364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9021aedb2e11e3272ef467514114c5aaf91da7b67c12623ab71e6e4edb9cf63c

Aliases

arxiv: 2108.11634 · arxiv_version: 2108.11634v4 · doi: 10.48550/arxiv.2108.11634 · pith_short_12: SAQ25WZOCHRS · pith_short_16: SAQ25WZOCHRSOLXU · pith_short_8: SAQ25WZO

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/SAQ25WZOCHRSOLXUM5IUCFGFVL \
  | 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: 9021aedb2e11e3272ef467514114c5aaf91da7b67c12623ab71e6e4edb9cf63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07eaf0cd581be454ad860203669dfd3ad957f34f3d83d9ee116f727f36969edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-08-26T08:02:12Z",
    "title_canon_sha256": "3ea9e4f3018568c8d815a44389ca2f29125493698044d1832d29844a217b3dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11634",
    "kind": "arxiv",
    "version": 4
  }
}