Pith Number

pith:BE46CXMD

pith:2018:BE46CXMDRQLOK5HKZWULJ2WE7L

not attested not anchored not stored refs pending

A sharp inequality involving hyperbolic and inverse hyperbolic functions

Roman Drnov\v{s}ek

arxiv:1809.08974 v1 · 2018-09-04 · 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{BE46CXMDRQLOK5HKZWULJ2WE7L}

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	2026-05-18T00:05:03.031578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0939e15d838c16e574eacda8b4eac4faee15c80164ebec01b22873dd4d7f99c7

Aliases

arxiv: 1809.08974 · arxiv_version: 1809.08974v1 · doi: 10.48550/arxiv.1809.08974 · pith_short_12: BE46CXMDRQLO · pith_short_16: BE46CXMDRQLOK5HK · pith_short_8: BE46CXMD

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/BE46CXMDRQLOK5HKZWULJ2WE7L \
  | 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: 0939e15d838c16e574eacda8b4eac4faee15c80164ebec01b22873dd4d7f99c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312f6c63cbe5e1c2c10ed3c9e9df767f413e8f41ed8e7f4b401a520b491b22cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-04T08:44:31Z",
    "title_canon_sha256": "ce07ffcc466cff773c0f0e8e49cdd3e3d0e747c9c3ab0473580d3cb6e6179427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08974",
    "kind": "arxiv",
    "version": 1
  }
}