Pith Number

pith:AJMU46DB

pith:2018:AJMU46DBRSMXY6ZE4OEXIVIPV2

not attested not anchored not stored refs pending

Set Relations and Approximate Solutions in Set Optimization

Andreas H Hamel, Carola Schrage, Giovanni Crespi, Matteo Rocca

arxiv:1812.03300 v1 · 2018-12-08 · 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{AJMU46DBRSMXY6ZE4OEXIVIPV2}

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	2026-05-17T23:58:46.614604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02594e78618c997c7b24e38974550faeacc8fc93a1507385eb36edd2ada89723

Aliases

arxiv: 1812.03300 · arxiv_version: 1812.03300v1 · doi: 10.48550/arxiv.1812.03300 · pith_short_12: AJMU46DBRSMX · pith_short_16: AJMU46DBRSMXY6ZE · pith_short_8: AJMU46DB

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/AJMU46DBRSMXY6ZE4OEXIVIPV2 \
  | 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: 02594e78618c997c7b24e38974550faeacc8fc93a1507385eb36edd2ada89723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81c2a81cd3be0b94d253cb3a0fec04d252c6c416860f7c6b3d9d88f2409f4db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-08T11:24:46Z",
    "title_canon_sha256": "f9a5925bd360654bd5f51de028994b76329529079e3af3767472d612ef7ea045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03300",
    "kind": "arxiv",
    "version": 1
  }
}