Pith Number

pith:5UNUXTV2

pith:2026:5UNUXTV2PM2W2JHCRYIPPFZLDI

not attested not anchored not stored refs pending

Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation

Christiane Tammer, Christian G\"unther, Elisabeth K\"obis, Paul Schm\"olling

arxiv:2605.30286 v1 · 2026-05-28 · 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{5UNUXTV2PM2W2JHCRYIPPFZLDI}

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	2026-05-29T02:06:15.271346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1b4bceba7b356d24e28e10f7972b1a15b98c18f6d64b12af33b832acd6c8f1

Aliases

arxiv: 2605.30286 · arxiv_version: 2605.30286v1 · doi: 10.48550/arxiv.2605.30286 · pith_short_12: 5UNUXTV2PM2W · pith_short_16: 5UNUXTV2PM2W2JHC · pith_short_8: 5UNUXTV2

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/5UNUXTV2PM2W2JHCRYIPPFZLDI \
  | 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: ed1b4bceba7b356d24e28e10f7972b1a15b98c18f6d64b12af33b832acd6c8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bfe4da5d60415d7876b61a20fe130263d0a48cff08103d39ef0013cec1e96b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-28T17:39:10Z",
    "title_canon_sha256": "52bcca74e904994d4521b6edf730a46ccbc432f27d8efff1a619564f621d2c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30286",
    "kind": "arxiv",
    "version": 1
  }
}