Pith Number

pith:QTUW43YV

pith:2017:QTUW43YVK4VAA34B6R32GQAAWO

not attested not anchored not stored refs pending

Subdifferential characterization of probability functions under Gaussian distribution

Abderrahim Hantoute, Pedro P\'erez-Aros, Ren\'e Henrion

arxiv:1705.10160 v2 · 2017-05-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTUW43YVK4VAA34B6R32GQAAWO}

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	2026-05-18T00:39:46.055264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e96e6f15572a006f81f477a34000b3bdbfae3bc744ac3e95c8b9aa18d0837e

Aliases

arxiv: 1705.10160 · arxiv_version: 1705.10160v2 · doi: 10.48550/arxiv.1705.10160 · pith_short_12: QTUW43YVK4VA · pith_short_16: QTUW43YVK4VAA34B · pith_short_8: QTUW43YV

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/QTUW43YVK4VAA34B6R32GQAAWO \
  | 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: 84e96e6f15572a006f81f477a34000b3bdbfae3bc744ac3e95c8b9aa18d0837e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ecc692c6e71dfc8b49884e4b8cc376af20294867a92ce51062f96d4fda8568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-29T13:05:03Z",
    "title_canon_sha256": "e7446dfb3856c17bde16a188d3a9ea047b6273a01a817fe8af132aa6fb17dcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10160",
    "kind": "arxiv",
    "version": 2
  }
}