Pith Number

pith:G23NUVTP

pith:2011:G23NUVTPZGGOTX5FRXMQMQDZJ4

not attested not anchored not stored refs pending

Pad\'e approximation for a multivariate Markov transform

Hermann Render, Ognyan Kounchev

arxiv:1112.1130 v1 · 2011-12-06 · 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{G23NUVTPZGGOTX5FRXMQMQDZJ4}

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	2026-05-18T04:06:56.227417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b6da566fc98ce9dfa58dd90640794f0e2de25e1049eb95609fb76a93b81454

Aliases

arxiv: 1112.1130 · arxiv_version: 1112.1130v1 · doi: 10.48550/arxiv.1112.1130 · pith_short_12: G23NUVTPZGGO · pith_short_16: G23NUVTPZGGOTX5F · pith_short_8: G23NUVTP

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/G23NUVTPZGGOTX5FRXMQMQDZJ4 \
  | 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: 36b6da566fc98ce9dfa58dd90640794f0e2de25e1049eb95609fb76a93b81454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96696a9706a15f609f31c3fcf5df680def01385fe6c78e793e3f6be0620ad2df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-06T00:23:04Z",
    "title_canon_sha256": "8d62494fd38df7ab65e500f7d808ba32c825f80300d20729cafc8c636205487c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1130",
    "kind": "arxiv",
    "version": 1
  }
}