Pith Number

pith:EU42MFTK

pith:2011:EU42MFTKSIDUPLC4ZS656BYW7S

not attested not anchored not stored refs pending

A Discrete Choquet Integral for Ordered Systems

Michel Grabisch, Ulrich Faigle

arxiv:1102.1340 v1 · 2011-02-07 · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU42MFTKSIDUPLC4ZS656BYW7S}

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	2026-05-18T04:29:54.461792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2539a6166a920747ac5cccbddf0716fcb53c94ba28d3f22ca3195664d53db961

Aliases

arxiv: 1102.1340 · arxiv_version: 1102.1340v1 · doi: 10.48550/arxiv.1102.1340 · pith_short_12: EU42MFTKSIDU · pith_short_16: EU42MFTKSIDUPLC4 · pith_short_8: EU42MFTK

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/EU42MFTKSIDUPLC4ZS656BYW7S \
  | 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: 2539a6166a920747ac5cccbddf0716fcb53c94ba28d3f22ca3195664d53db961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059129e87a28aed099f8e4567e3b0f3265cf19de60a71a775a989a665c3977d5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-02-07T15:40:54Z",
    "title_canon_sha256": "7c28ef5bd6da30846b7f5405d9e3fe88a34bf9814b6fed61ee03c90445462e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1340",
    "kind": "arxiv",
    "version": 1
  }
}