Pith Number

pith:JD5EMBT6

pith:2026:JD5EMBT6ZWXF6NHDIT7VRQARF5

not attested not anchored not stored refs pending

A polynomial moment approach to a rank condition for continuous-stage Runge--Kutta methods

Yuto Miyatake

arxiv:2606.30122 v1 · 2026-06-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JD5EMBT6ZWXF6NHDIT7VRQARF5}

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	2026-06-30T02:17:50.519401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48fa46067ecdae5f34e344ff58c0112f4f2918269961d9b94d5481061dec4f42

Aliases

arxiv: 2606.30122 · arxiv_version: 2606.30122v1 · doi: 10.48550/arxiv.2606.30122 · pith_short_12: JD5EMBT6ZWXF · pith_short_16: JD5EMBT6ZWXF6NHD · pith_short_8: JD5EMBT6

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/JD5EMBT6ZWXF6NHDIT7VRQARF5 \
  | 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: 48fa46067ecdae5f34e344ff58c0112f4f2918269961d9b94d5481061dec4f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb59b56412e80760a17d0ae9935297f6a2cf0b5510c837d88f827ad0fcfef85d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-29T10:56:49Z",
    "title_canon_sha256": "3e4b6a5233ae2b9a347a8538d0376cd7030c6cf82047f679bab78ee5c8bdaffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30122",
    "kind": "arxiv",
    "version": 1
  }
}