Pith Number

pith:4AJJ75ZU

pith:2020:4AJJ75ZU7MA22U6WWOGGPZKUVI

not attested not anchored not stored refs pending

On semi-discrete sub-partitions of vector-valued measures

Gershon Wolansky, Shlomi Gover

arxiv:2007.03982 v2 · 2020-07-08 · 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{4AJJ75ZU7MA22U6WWOGGPZKUVI}

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 a problem of optimal mixing

Receipt and verification

First computed	2026-07-05T01:18:04.765910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0129ff734fb01ad53d6b38c67e554aa02599bc1bd7dace042f807b8f5d49c23

Aliases

arxiv: 2007.03982 · arxiv_version: 2007.03982v2 · doi: 10.48550/arxiv.2007.03982 · pith_short_12: 4AJJ75ZU7MA2 · pith_short_16: 4AJJ75ZU7MA22U6W · pith_short_8: 4AJJ75ZU

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/4AJJ75ZU7MA22U6WWOGGPZKUVI \
  | 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: e0129ff734fb01ad53d6b38c67e554aa02599bc1bd7dace042f807b8f5d49c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80791d22f18fc5038c809074a8450e5b6bf37e0ca8d47ca1a9a129b7f6fa9f1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-08T09:40:21Z",
    "title_canon_sha256": "4ba2e303b0123649a7d2e9b253e2e50f37009d12c11002d403e21fca83ad0b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.03982",
    "kind": "arxiv",
    "version": 2
  }
}