Pith Number

pith:GPQBUMHR

pith:2022:GPQBUMHRMIPFK554PJEBODZ7QI

not attested not anchored not stored refs pending

Exact solution approaches for the discrete $\alpha$-neighbor $p$-center problem

Elisabeth Gaar, Markus Sinnl

arxiv:2211.12908 v2 · 2022-11-23 · math.OC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPQBUMHRMIPFK554PJEBODZ7QI}

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	2026-07-05T09:39:49.988200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e01a30f1621e5577bc7a48170f3f823d976783b4ac2b3a7e5bd02ec9484ceb

Aliases

arxiv: 2211.12908 · arxiv_version: 2211.12908v2 · doi: 10.48550/arxiv.2211.12908 · pith_short_12: GPQBUMHRMIPF · pith_short_16: GPQBUMHRMIPFK554 · pith_short_8: GPQBUMHR

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/GPQBUMHRMIPFK554PJEBODZ7QI \
  | 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: 33e01a30f1621e5577bc7a48170f3f823d976783b4ac2b3a7e5bd02ec9484ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee127e3001c22122fc9d4126d16721c0cb908c5f2a647af79aa338c044d1a8f8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-11-23T12:21:57Z",
    "title_canon_sha256": "27ed9c67ad08d24c01b1019152de7e9957e18fb12cd9ad1e6b44fddc7e0f77a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12908",
    "kind": "arxiv",
    "version": 2
  }
}