Pith Number

pith:X74QSFZT

pith:2011:X74QSFZTYIRXIVF4Q5KNKCRWGI

not attested not anchored not stored refs pending

A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations

Carsten Schneider, Manuel Kauers

arxiv:1101.2803 v1 · 2011-01-14 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X74QSFZTYIRXIVF4Q5KNKCRWGI}

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	2026-05-18T04:31:31.742740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff9091733c2237454bc8754d50a3632332a2b92bf36373814eaed027cd877c5

Aliases

arxiv: 1101.2803 · arxiv_version: 1101.2803v1 · doi: 10.48550/arxiv.1101.2803 · pith_short_12: X74QSFZTYIRX · pith_short_16: X74QSFZTYIRXIVF4 · pith_short_8: X74QSFZT

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/X74QSFZTYIRXIVF4Q5KNKCRWGI \
  | 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: bff9091733c2237454bc8754d50a3632332a2b92bf36373814eaed027cd877c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6450b7878dd825277ec023f205eee116c88d1d433aaed2aa0975e8d1ec589684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-01-14T13:41:29Z",
    "title_canon_sha256": "03a18fa619762d75ced7aeefa792d977952dfbc8d01be11c4f91bfb6c28cc8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2803",
    "kind": "arxiv",
    "version": 1
  }
}