Pith Number

pith:O3GHFRPL

pith:2010:O3GHFRPLYZALVSU2Q7CL3FX4T7

not attested not anchored not stored refs pending

Nearly Optimal Algorithms for the Decomposition of Multivariate Rational Functions and the Extended L\"uroth's Theorem

Guillaume Ch\`eze (IMT)

arxiv:1004.5285 v1 · 2010-04-29 · cs.SC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3GHFRPLYZALVSU2Q7CL3FX4T7}

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	2026-05-18T04:09:35.200037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76cc72c5ebc640baca9a87c4bd96fc9fd32fc84bcafbe14bde706016c9f33ebc

Aliases

arxiv: 1004.5285 · arxiv_version: 1004.5285v1 · doi: 10.48550/arxiv.1004.5285 · pith_short_12: O3GHFRPLYZAL · pith_short_16: O3GHFRPLYZALVSU2 · pith_short_8: O3GHFRPL

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/O3GHFRPLYZALVSU2Q7CL3FX4T7 \
  | 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: 76cc72c5ebc640baca9a87c4bd96fc9fd32fc84bcafbe14bde706016c9f33ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff43d03ff2b77253d304474e30b283a4a695166ccec011212ba8cd000880acc",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2010-04-29T13:46:26Z",
    "title_canon_sha256": "3ce54cfd7efc8a1bd8c918f1097232b41b6456fa4f7f22bfb6d26003f075bc95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5285",
    "kind": "arxiv",
    "version": 1
  }
}