Pith Number

pith:5K2TQFNL

pith:2010:5K2TQFNLLZRZMBHYEBZTCK6IKI

not attested not anchored not stored refs pending

Set Covering with Ordered Replacement -- Additive and Multiplicative Gaps

Friedrich Eisenbrand, Laura Sanit\`a, Naonori Kakimura, Thomas Rothvo{\ss}

arxiv:1012.3295 v1 · 2010-12-15 · 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{5K2TQFNLLZRZMBHYEBZTCK6IKI}

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	2026-05-18T02:23:07.170064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab53815ab5e639604f82073312bc852376c3c09aca7dbf2bc8efa3b5f3ef182

Aliases

arxiv: 1012.3295 · arxiv_version: 1012.3295v1 · doi: 10.48550/arxiv.1012.3295 · pith_short_12: 5K2TQFNLLZRZ · pith_short_16: 5K2TQFNLLZRZMBHY · pith_short_8: 5K2TQFNL

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/5K2TQFNLLZRZMBHYEBZTCK6IKI \
  | 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: eab53815ab5e639604f82073312bc852376c3c09aca7dbf2bc8efa3b5f3ef182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c280ba7e9d21b78188f577ca8f582455ef6afb5865a1893f9db9f6f3e4e6b2ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-12-15T11:56:31Z",
    "title_canon_sha256": "dc6e0a092e590863fb2b30146405bf09f6d60bd025320de042d364c7a7fb0829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3295",
    "kind": "arxiv",
    "version": 1
  }
}