Pith Number

pith:SFBQHTKG

pith:2018:SFBQHTKGDBONKIDOG6S4DV7A23

not attested not anchored not stored refs pending

Singularity of random symmetric matrices -- a combinatorial approach to improved bounds

Asaf Ferber, Vishesh Jain

arxiv:1809.04718 v2 · 2018-09-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFBQHTKGDBONKIDOG6S4DV7A23}

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

Quantitative invertibility of random matrices: a combinatorial perspective

Receipt and verification

First computed	2026-07-05T00:02:54.382953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914303cd46185cd5206e37a5c1d7e0d6dcfb8309a0b1d90583892309744a7e86

Aliases

arxiv: 1809.04718 · arxiv_version: 1809.04718v2 · doi: 10.48550/arxiv.1809.04718 · pith_short_12: SFBQHTKGDBON · pith_short_16: SFBQHTKGDBONKIDO · pith_short_8: SFBQHTKG

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/SFBQHTKGDBONKIDOG6S4DV7A23 \
  | 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: 914303cd46185cd5206e37a5c1d7e0d6dcfb8309a0b1d90583892309744a7e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c455cb0916fb46bf30d4808467b86bf60de225eb1320412d797132c9d2f89800",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-13T00:24:51Z",
    "title_canon_sha256": "712cf13ad17426ad64128057708534a13024ab82d0d32fd2ff316a6f44a591d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04718",
    "kind": "arxiv",
    "version": 2
  }
}