Pith Number

pith:E4SPJPD3

pith:2020:E4SPJPD3JAEK7ZQSGQJZXBRKA3

not attested not anchored not stored refs pending

Detection thresholds in very sparse matrix completion

Charles Bordenave, Raj Rao Nadakuditi, Simon Coste

arxiv:2005.06062 v2 · 2020-05-12 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4SPJPD3JAEK7ZQSGQJZXBRKA3}

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

Linear stability analysis for large dynamical systems on directed random graphs

Receipt and verification

First computed	2026-07-05T01:24:35.361614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2724f4bc7b4808afe61234139b862a06cc7688f5aa15ae270bb4164dce2171e1

Aliases

arxiv: 2005.06062 · arxiv_version: 2005.06062v2 · doi: 10.48550/arxiv.2005.06062 · pith_short_12: E4SPJPD3JAEK · pith_short_16: E4SPJPD3JAEK7ZQS · pith_short_8: E4SPJPD3

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/E4SPJPD3JAEK7ZQSGQJZXBRKA3 \
  | 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: 2724f4bc7b4808afe61234139b862a06cc7688f5aa15ae270bb4164dce2171e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991d02c12cb5bd529e403f37cecbe1d6e1c32bc26a051bee666887756332e61f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-12T21:39:24Z",
    "title_canon_sha256": "ab3ea0c263e07eee67b7c1354d1cde8bea279a5b011ef593ddef3584dd6c106e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.06062",
    "kind": "arxiv",
    "version": 2
  }
}