Pith Number

pith:QOHG6OFX

pith:2019:QOHG6OFXL6SJA5UU2GODOLCMSZ

not attested not anchored not stored refs pending

Spectral gaps, symmetries and log-concave perturbations

Bo'az Klartag, Franck Barthe

arxiv:1907.01823 v2 · 2019-07-03 · math.FA · 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{QOHG6OFXL6SJA5UU2GODOLCMSZ}

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

Fast Mixing of Data Augmentation Algorithms: Bayesian Probit, Logit, and Lasso Regression

Receipt and verification

First computed	2026-05-17T23:41:02.120203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838e6f38b75fa4907694d19c372c4c965ddfb9a18975ce87ffbf64bbc94d35fa

Aliases

arxiv: 1907.01823 · arxiv_version: 1907.01823v2 · doi: 10.48550/arxiv.1907.01823 · pith_short_12: QOHG6OFXL6SJ · pith_short_16: QOHG6OFXL6SJA5UU · pith_short_8: QOHG6OFX

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/QOHG6OFXL6SJA5UU2GODOLCMSZ \
  | 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: 838e6f38b75fa4907694d19c372c4c965ddfb9a18975ce87ffbf64bbc94d35fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f222675c3073d623131cb8747963e508c44564e6cf8fe88903f0fb0c2c8611a1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-03T09:56:13Z",
    "title_canon_sha256": "0b857c8789baa776b883bfad57ecf58f1fedd00fea78e4abcf986c670ac30edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01823",
    "kind": "arxiv",
    "version": 2
  }
}