Pith Number

pith:D7NFNIXQ

pith:2026:D7NFNIXQRXMVNE65HRPDSHXYKF

not attested not anchored not stored refs pending

Recursive expansion of the matrix step function using polynomials of degree eight

Elias Jarlebring, Emanuel H. Rubensson, Gustaf Lorentzon

arxiv:2606.24701 v1 · 2026-06-23 · 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{D7NFNIXQRXMVNE65HRPDSHXYKF}

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	2026-06-24T01:15:39.553214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fda56a2f08dd95693dd3c5e391ef85142aeaf954f5831abee0912662bc535e7

Aliases

arxiv: 2606.24701 · arxiv_version: 2606.24701v1 · doi: 10.48550/arxiv.2606.24701 · pith_short_12: D7NFNIXQRXMV · pith_short_16: D7NFNIXQRXMVNE65 · pith_short_8: D7NFNIXQ

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/D7NFNIXQRXMVNE65HRPDSHXYKF \
  | 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: 1fda56a2f08dd95693dd3c5e391ef85142aeaf954f5831abee0912662bc535e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c99325e063082393f7848f62ed670ba83a66a11ce7803fa868ad09850631f74",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-23T15:27:38Z",
    "title_canon_sha256": "71cddf7e09b909c667ac690b8b25fe3b363a9431e72f2c856e54d64bd9e436e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24701",
    "kind": "arxiv",
    "version": 1
  }
}