Pith Number

pith:F227ZSJC

pith:2016:F227ZSJCAI6U46LDRYX3ICFT7F

not attested not anchored not stored refs pending

On the existence of aggregation functions with given super-additive and sub-additive transformations

Alexandra \v{S}ipo\v{s}ov\'a, Jozef \v{S}ir\'a\v{n}, Ladislav \v{S}ipeky

arxiv:1607.03862 v1 · 2016-07-11 · 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{F227ZSJCAI6U46LDRYX3ICFT7F}

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	2026-05-18T01:11:05.537856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb5fcc922023d4e79638e2fb408b3f9548680a5786fc350ed07881c5335a35b

Aliases

arxiv: 1607.03862 · arxiv_version: 1607.03862v1 · doi: 10.48550/arxiv.1607.03862 · pith_short_12: F227ZSJCAI6U · pith_short_16: F227ZSJCAI6U46LD · pith_short_8: F227ZSJC

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/F227ZSJCAI6U46LDRYX3ICFT7F \
  | 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: 2eb5fcc922023d4e79638e2fb408b3f9548680a5786fc350ed07881c5335a35b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825730713e8f2c313592d9a4a3cf100af02af28e446c0aaf24ce209e2ecbbfa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-11T11:34:44Z",
    "title_canon_sha256": "d3dd3f0c13595783b99e0e6aa27977020aac6aadfb46e7b2c7793fc5f343f2a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03862",
    "kind": "arxiv",
    "version": 1
  }
}