Pith Number

pith:CDMLRNP4

pith:2017:CDMLRNP4W3UJDJ435B6V57FXW5

not attested not anchored not stored refs pending

Quantifying non-monotonicity of functions and the lack of positivity in signed measures

Ri\v{c}ardas Zitikis, Youri Davydov

arxiv:1705.02742 v2 · 2017-05-08 · 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{CDMLRNP4W3UJDJ435B6V57FXW5}

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	2026-05-18T00:31:45.115726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d8b8b5fcb6e891a79be87d5efcb7b751c9c7f0b3bde2b2ad8630b27e7fc37b

Aliases

arxiv: 1705.02742 · arxiv_version: 1705.02742v2 · doi: 10.48550/arxiv.1705.02742 · pith_short_12: CDMLRNP4W3UJ · pith_short_16: CDMLRNP4W3UJDJ43 · pith_short_8: CDMLRNP4

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/CDMLRNP4W3UJDJ435B6V57FXW5 \
  | 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: 10d8b8b5fcb6e891a79be87d5efcb7b751c9c7f0b3bde2b2ad8630b27e7fc37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "141bead6d5da719ba804ed5e7e18102f61d7ec52d5862f223705b4aa427cd0a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-08T05:16:03Z",
    "title_canon_sha256": "cf7dc6ed189d49b3d1256c447f17fca1789edddde28d7e9ee6ead94a682df86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02742",
    "kind": "arxiv",
    "version": 2
  }
}