Pith Number

pith:HTJEH26B

pith:2021:HTJEH26BBHB2WAODFHIKMVXBQX

not attested not anchored not stored refs pending

An outer approximation algorithm for multi-objective mixed-integer linear and non-linear programming

Fabien Tricoire, Fritz B\"okler, Markus Sinnl, Sophie N. Parragh

arxiv:2103.16647 v2 · 2021-03-30 · 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{HTJEH26BBHB2WAODFHIKMVXBQX}

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	2026-07-05T04:19:30.750520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd243ebc109c3ab01c329d0a656e185d907bbdc64bf6673899e5cd3f8734b0d

Aliases

arxiv: 2103.16647 · arxiv_version: 2103.16647v2 · doi: 10.48550/arxiv.2103.16647 · pith_short_12: HTJEH26BBHB2 · pith_short_16: HTJEH26BBHB2WAOD · pith_short_8: HTJEH26B

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/HTJEH26BBHB2WAODFHIKMVXBQX \
  | 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: 3cd243ebc109c3ab01c329d0a656e185d907bbdc64bf6673899e5cd3f8734b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49517a931211d6c0c42bdc160ea68d650900a6848cd2dd92bb3092d9f835888f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-30T19:42:29Z",
    "title_canon_sha256": "8312c6c6d35615b6cdc16ebfd73e4becf0927740183c13f667721693ddf669a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.16647",
    "kind": "arxiv",
    "version": 2
  }
}