Pith Number

pith:NMGYLFFN

pith:2025:NMGYLFFNZ5FW5ZBRGNKAVHDKCP

not attested not anchored not stored refs pending

L'H\^{o}pital's Rule is Equivalent to the Least Upper Bound Property

Alex Rusterholtz, Kyle Hambrook, Martin Grant

arxiv:2505.23092 v1 · 2025-05-29 · 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{NMGYLFFNZ5FW5ZBRGNKAVHDKCP}

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	2026-07-05T11:11:55.347074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0d8594adcf4b6ee43133540a9c6a13e33bb8205e89b47f3d69c11fcfb32bb8

Aliases

arxiv: 2505.23092 · arxiv_version: 2505.23092v1 · doi: 10.48550/arxiv.2505.23092 · pith_short_12: NMGYLFFNZ5FW · pith_short_16: NMGYLFFNZ5FW5ZBR · pith_short_8: NMGYLFFN

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/NMGYLFFNZ5FW5ZBRGNKAVHDKCP \
  | 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: 6b0d8594adcf4b6ee43133540a9c6a13e33bb8205e89b47f3d69c11fcfb32bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5171e3fda07563ef2b997617fd34ec709e57ae42b849f4b4caac22b169a380",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-29T04:51:57Z",
    "title_canon_sha256": "fb6efba0ad8ed3282df397a71e577fa9fa9f97338c81eb628eb5350feef5219e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23092",
    "kind": "arxiv",
    "version": 1
  }
}