Pith Number

pith:5ZVBIQT6

pith:2010:5ZVBIQT6P3EJEUL4EO443B3KXT

not attested not anchored not stored refs pending

Axiomatizations of Lov\'asz extensions of pseudo-Boolean functions

Jean-Luc Marichal, Miguel Couceiro

arxiv:1007.0714 v2 · 2010-07-05 · math.FA · 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{5ZVBIQT6P3EJEUL4EO443B3KXT}

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	2026-05-18T04:16:40.951840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6a14427e7ec892517c23b9cd876abcfd21020d0f8ab6e29b44ecb3089b0ff8

Aliases

arxiv: 1007.0714 · arxiv_version: 1007.0714v2 · doi: 10.48550/arxiv.1007.0714 · pith_short_12: 5ZVBIQT6P3EJ · pith_short_16: 5ZVBIQT6P3EJEUL4 · pith_short_8: 5ZVBIQT6

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/5ZVBIQT6P3EJEUL4EO443B3KXT \
  | 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: ee6a14427e7ec892517c23b9cd876abcfd21020d0f8ab6e29b44ecb3089b0ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f7d765d0625ce181055105bb06a2f2b01cdb49604391ec1321d7674a553a11d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-05T16:21:07Z",
    "title_canon_sha256": "bf424348cbbecb263b5565c8d4f34de15b669f36aec5380d8ed59e7f94732ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0714",
    "kind": "arxiv",
    "version": 2
  }
}