Pith Number

pith:GH7YTD2P

pith:2019:GH7YTD2PRXQSITGHTEJEGSISL6

not attested not anchored not stored refs pending

Stochastic Tverberg theorems and their applications in multi-class logistic regression, data separability, and centerpoints of data

Jes\'us A. De Loera, Thomas A. Hogan

arxiv:1907.09698 v1 · 2019-07-23 · math.PR · math.OC · 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{GH7YTD2PRXQSITGHTEJEGSISL6}

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	2026-05-17T23:39:50.370267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ff898f4f8de1244cc799124349125fa36347153096917cb20ee81d82a3d9ec

Aliases

arxiv: 1907.09698 · arxiv_version: 1907.09698v1 · doi: 10.48550/arxiv.1907.09698 · pith_short_12: GH7YTD2PRXQS · pith_short_16: GH7YTD2PRXQSITGH · pith_short_8: GH7YTD2P

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/GH7YTD2PRXQSITGHTEJEGSISL6 \
  | 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: 31ff898f4f8de1244cc799124349125fa36347153096917cb20ee81d82a3d9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30cdd8d5dc9885782b8ff765ce0fcfaf58e0724f2a779def9e18b2b753b1df9",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-23T05:21:12Z",
    "title_canon_sha256": "c55c6bd69be601567b6f03fe41ac3f16fbfa17c54cc2bb6f0acdbf0eff104894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09698",
    "kind": "arxiv",
    "version": 1
  }
}