Pith Number

pith:5JPBVMXT

pith:2011:5JPBVMXTIXCVAUTID42OUAYIZT

not attested not anchored not stored refs pending

On distance distribution functions-valued submeasures related to aggregation functions

Lenka Hal\v{c}inov\'a, Ondrej Hutn\'ik, Radko Mesiar

arxiv:1107.3265 v1 · 2011-07-17 · math.CA · 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{5JPBVMXTIXCVAUTID42OUAYIZT}

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	2026-05-18T03:51:23.821105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5e1ab2f345c55052681f34ea0308ccdd07bbab06704ee0e4a699619d5bd746

Aliases

arxiv: 1107.3265 · arxiv_version: 1107.3265v1 · doi: 10.48550/arxiv.1107.3265 · pith_short_12: 5JPBVMXTIXCV · pith_short_16: 5JPBVMXTIXCVAUTI · pith_short_8: 5JPBVMXT

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/5JPBVMXTIXCVAUTID42OUAYIZT \
  | 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: ea5e1ab2f345c55052681f34ea0308ccdd07bbab06704ee0e4a699619d5bd746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71dba4b4608b17465c7c9119153e4635a7cd79f053a049c7356d74cea60e25fd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-17T00:13:37Z",
    "title_canon_sha256": "5235ce1f7d14feda1e6e26d35bc764fdfb6ec80ed21f453d0fa992954e884358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3265",
    "kind": "arxiv",
    "version": 1
  }
}