Pith Number

pith:K2ISX7GB

pith:2015:K2ISX7GBBA6CRRSZYEMNRD7HKD

not attested not anchored not stored refs pending

On Inflection Points of the Lehmer Mean Function

Ondrej Sluciak

arxiv:1509.09277 v1 · 2015-09-30 · 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{K2ISX7GBBA6CRRSZYEMNRD7HKD}

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	2026-05-18T01:31:21.842048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56912bfcc1083c28c659c118d88fe750f88e6ca021fceee6b909b3e0ac33ee6b

Aliases

arxiv: 1509.09277 · arxiv_version: 1509.09277v1 · doi: 10.48550/arxiv.1509.09277 · pith_short_12: K2ISX7GBBA6C · pith_short_16: K2ISX7GBBA6CRRSZ · pith_short_8: K2ISX7GB

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/K2ISX7GBBA6CRRSZYEMNRD7HKD \
  | 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: 56912bfcc1083c28c659c118d88fe750f88e6ca021fceee6b909b3e0ac33ee6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9689dc2c832fc65101de2129631bff9b999de5f3a562d23d36f2adbd6cd2c44e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-30T18:05:46Z",
    "title_canon_sha256": "9dc8298d94913b184d3cc49dbcf89721fcdec7be8047e17458ed185a049f2d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09277",
    "kind": "arxiv",
    "version": 1
  }
}