Pith Number

pith:UUTJT4A4

pith:2015:UUTJT4A4LKYKL23U5WZJWRZA2R

not attested not anchored not stored refs pending

A note on the superadditive and the subadditive transformations of aggregation functions

Alexandra \v{S}ipo\v{s}ov\'a

arxiv:1601.00612 v1 · 2015-12-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUTJT4A4LKYKL23U5WZJWRZA2R}

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	2026-05-18T01:23:26.942032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52699f01c5ab0a5eb74edb29b4720d478636d09cc535048efc6959ef342e011

Aliases

arxiv: 1601.00612 · arxiv_version: 1601.00612v1 · doi: 10.48550/arxiv.1601.00612 · pith_short_12: UUTJT4A4LKYK · pith_short_16: UUTJT4A4LKYKL23U · pith_short_8: UUTJT4A4

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/UUTJT4A4LKYKL23U5WZJWRZA2R \
  | 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: a52699f01c5ab0a5eb74edb29b4720d478636d09cc535048efc6959ef342e011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032fb8ca9f0a15646a28e4821305587eec5fffeb45c3c071ed7f36cc8cf9d5b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-30T16:48:29Z",
    "title_canon_sha256": "38e21d5b900ff5f8f773eae493153bdfb1596c0e3704a3a2eb86eabe89bdb367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00612",
    "kind": "arxiv",
    "version": 1
  }
}