Pith Number

pith:T3ETBJH4

pith:2018:T3ETBJH4P46LU7RJDIQG2GRXJQ

not attested not anchored not stored refs pending

Directional Pareto efficiency: concepts and optimality conditions

Elena-Andreea Florea, Marius Durea, Teodor Chelmu\c{s}

arxiv:1808.09133 v1 · 2018-08-28 · 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{T3ETBJH4P46LU7RJDIQG2GRXJQ}

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	2026-05-18T00:07:04.376926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec930a4fc7f3cba7e291a206d1a374c3d85c7c7ecdc813a371e887f4e36368f

Aliases

arxiv: 1808.09133 · arxiv_version: 1808.09133v1 · doi: 10.48550/arxiv.1808.09133 · pith_short_12: T3ETBJH4P46L · pith_short_16: T3ETBJH4P46LU7RJ · pith_short_8: T3ETBJH4

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/T3ETBJH4P46LU7RJDIQG2GRXJQ \
  | 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: 9ec930a4fc7f3cba7e291a206d1a374c3d85c7c7ecdc813a371e887f4e36368f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e98b2c76877228bdce3e76e1889395d7c69909b540667e4d75cce9f00c69a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-28T06:14:32Z",
    "title_canon_sha256": "efb84921f23b4937e9afcb9ccbb6f8060f68c44d31c70e4ee43db1e875334a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09133",
    "kind": "arxiv",
    "version": 1
  }
}