Pith Number

pith:TFMDK2VU

pith:2012:TFMDK2VUHMAONCAMITLKPVPFXH

not attested not anchored not stored refs pending

Smoothed analysis of symmetric random matrices with continuous distributions

Brendan Farrell, Roman Vershynin

arxiv:1212.3531 v3 · 2012-12-14 · 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{TFMDK2VUHMAONCAMITLKPVPFXH}

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	2026-05-18T01:59:59.188625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9958356ab43b00e6880c44d6a7d5e5b9e4ca72af49923c178bc2198c7899c61e

Aliases

arxiv: 1212.3531 · arxiv_version: 1212.3531v3 · doi: 10.48550/arxiv.1212.3531 · pith_short_12: TFMDK2VUHMAO · pith_short_16: TFMDK2VUHMAONCAM · pith_short_8: TFMDK2VU

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/TFMDK2VUHMAONCAMITLKPVPFXH \
  | 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: 9958356ab43b00e6880c44d6a7d5e5b9e4ca72af49923c178bc2198c7899c61e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e47c4d70574825fc93752982579d5fcdeacabadc01d4f8ae381505f34bab70e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-14T17:07:47Z",
    "title_canon_sha256": "b57b4afe3337bc05681a884779c0470acc1e35d89292d53c7fd73c0bca3e5bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3531",
    "kind": "arxiv",
    "version": 3
  }
}