Pith Number

pith:PHUHV6K2

pith:2011:PHUHV6K2UJNTKUFSAEBZEFLMUE

not attested not anchored not stored refs pending

Axiomatizations and factorizations of Sugeno utility functions

Miguel Couceiro, Tam\'as Waldhauser

arxiv:1101.4962 v1 · 2011-01-25 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHUHV6K2UJNTKUFSAEBZEFLMUE}

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	2026-05-18T04:30:35.112405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e87af95aa25b3550b2010392156ca1383640570fb6df84ff3cbd33e1740f8a

Aliases

arxiv: 1101.4962 · arxiv_version: 1101.4962v1 · doi: 10.48550/arxiv.1101.4962 · pith_short_12: PHUHV6K2UJNT · pith_short_16: PHUHV6K2UJNTKUFS · pith_short_8: PHUHV6K2

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/PHUHV6K2UJNTKUFSAEBZEFLMUE \
  | 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: 79e87af95aa25b3550b2010392156ca1383640570fb6df84ff3cbd33e1740f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e67078268ce4925c39b1a18edd5441d702475a6550438d8dffd96a9bf7a6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-25T21:48:03Z",
    "title_canon_sha256": "fd867fa91a78640d449ee9f21e38a196092ba40798b78734bab04313a4a8a569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4962",
    "kind": "arxiv",
    "version": 1
  }
}