Pith Number

pith:U2XJTHOU

pith:2019:U2XJTHOUVS2VXMBW4SJDECQBJE

not attested not anchored not stored refs pending

Classical Kantorovich operators revisited

Ana Maria Acu, Heiner Gonska

arxiv:1904.11135 v1 · 2019-04-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2XJTHOUVS2VXMBW4SJDECQBJE}

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	2026-05-17T23:47:45.693030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ae999dd4acb55bb036e492320a014906027144c286bdd80beb5eda05ebd00d

Aliases

arxiv: 1904.11135 · arxiv_version: 1904.11135v1 · doi: 10.48550/arxiv.1904.11135 · pith_short_12: U2XJTHOUVS2V · pith_short_16: U2XJTHOUVS2VXMBW · pith_short_8: U2XJTHOU

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/U2XJTHOUVS2VXMBW4SJDECQBJE \
  | 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: a6ae999dd4acb55bb036e492320a014906027144c286bdd80beb5eda05ebd00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90269bfc8645161648b4b4101d7ea3e07eb0c696580b279b6d5f8c1e5f2a71f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-25T03:09:00Z",
    "title_canon_sha256": "843c0bab6580ef7111161751d361eab373d8ce291ca0ee54eadcebbbed183d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11135",
    "kind": "arxiv",
    "version": 1
  }
}