Pith Number

pith:HAIIEVMD

pith:2010:HAIIEVMDRAYVTZCYAEET545HL4

not attested not anchored not stored refs pending

On Kaluza's sign criterion for reciprocal power series

\'Arp\'ad Baricz, Jetro Vesti, Matti Vuorinen

arxiv:1010.5337 v3 · 2010-10-26 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAIIEVMDRAYVTZCYAEET545HL4}

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	2026-05-18T04:05:04.110789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3810825583883159e45801093ef3a75f362be4b22e742e3a5224fc457a1f5996

Aliases

arxiv: 1010.5337 · arxiv_version: 1010.5337v3 · doi: 10.48550/arxiv.1010.5337 · pith_short_12: HAIIEVMDRAYV · pith_short_16: HAIIEVMDRAYVTZCY · pith_short_8: HAIIEVMD

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/HAIIEVMDRAYVTZCYAEET545HL4 \
  | 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: 3810825583883159e45801093ef3a75f362be4b22e742e3a5224fc457a1f5996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2f268da58826660be437b80a94f554f4d4c591c65f2b7da493d812545737c3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-10-26T08:59:22Z",
    "title_canon_sha256": "0320824e5f58b63112a62f31e543eb71f9123603faa2a7f3ed35cad0ef3648ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5337",
    "kind": "arxiv",
    "version": 3
  }
}