Pith Number

pith:MJPVYX5M

pith:2008:MJPVYX5MGQXPW5J3AMVRJJB42M

not attested not anchored not stored refs pending

On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae

Bernhard Beckermann, Hedi Joulak

arxiv:0803.2281 v2 · 2008-03-15 · math.CA · math.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{MJPVYX5MGQXPW5J3AMVRJJB42M}

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	2026-05-18T02:16:00.235582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625f5c5fac342efb753b032b14a43cd318a76d5e5bfc2f47af327b08c9608d19

Aliases

arxiv: 0803.2281 · arxiv_version: 0803.2281v2 · doi: 10.48550/arxiv.0803.2281 · pith_short_12: MJPVYX5MGQXP · pith_short_16: MJPVYX5MGQXPW5J3 · pith_short_8: MJPVYX5M

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/MJPVYX5MGQXPW5J3AMVRJJB42M \
  | 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: 625f5c5fac342efb753b032b14a43cd318a76d5e5bfc2f47af327b08c9608d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b23d5321ddb07087efc6c392b8c9f5a6609ac4a25b743e636ea73ebb7393ba1",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-03-15T10:47:29Z",
    "title_canon_sha256": "fc8c04e1e76f6299464e63c88a48888a8a54504322bcf32ca28c7fd76f6bf3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2281",
    "kind": "arxiv",
    "version": 2
  }
}