Pith Number

pith:HPQE5SOD

pith:2015:HPQE5SOD4EOLLPMK774FJWN4H3

not attested not anchored not stored refs pending

Bracketing numbers of convex and $m$-monotone functions on polytopes

Charles R. Doss

arxiv:1506.00034 v3 · 2015-05-29 · cs.IT · math.IT · 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{HPQE5SOD4EOLLPMK774FJWN4H3}

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

On Least Squares Estimation under Heteroscedastic and Heavy-Tailed Errors

Receipt and verification

First computed	2026-07-05T00:55:15.414255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be04ec9c3e11cb5bd8afff854d9bc3ef14c0763a22648f51a284276ab0932c0

Aliases

arxiv: 1506.00034 · arxiv_version: 1506.00034v3 · doi: 10.48550/arxiv.1506.00034 · pith_short_12: HPQE5SOD4EOL · pith_short_16: HPQE5SOD4EOLLPMK · pith_short_8: HPQE5SOD

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/HPQE5SOD4EOLLPMK774FJWN4H3 \
  | 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: 3be04ec9c3e11cb5bd8afff854d9bc3ef14c0763a22648f51a284276ab0932c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf286f51f05635dd8679e21705d60e0ac4cc060a6d015a878bfb70cb894ccff",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-29T21:34:24Z",
    "title_canon_sha256": "d91066e49d49d1a6a69d72ee72549b2e6d4f709a31526dc3ed2aba0b06a44923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00034",
    "kind": "arxiv",
    "version": 3
  }
}