Pith Number

pith:33KUQCVA

pith:2018:33KUQCVATDYRMDQZCZJ7OHIWIO

not attested not anchored not stored refs pending

Counting Polynomial Roots in Isabelle/HOL: A Formal Proof of the Budan-Fourier Theorem

Lawrence C. Paulson, Wenda Li

arxiv:1811.11093 v1 · 2018-11-27 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33KUQCVATDYRMDQZCZJ7OHIWIO}

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	2026-05-17T23:59:45.282640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded5480aa098f1160e191653f71d1643a71f7636cc4ce12435b2fdca2ab10d2f

Aliases

arxiv: 1811.11093 · arxiv_version: 1811.11093v1 · doi: 10.48550/arxiv.1811.11093 · pith_short_12: 33KUQCVATDYR · pith_short_16: 33KUQCVATDYRMDQZ · pith_short_8: 33KUQCVA

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/33KUQCVATDYRMDQZCZJ7OHIWIO \
  | 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: ded5480aa098f1160e191653f71d1643a71f7636cc4ce12435b2fdca2ab10d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcf81975f58f10ce5a6ba01253980510bf92a835e55ae830dafbf791f59e6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-11-27T16:48:52Z",
    "title_canon_sha256": "b338f0d96119f1ead1fc64b2ba70fcd06c716c609c2303b178c1ada32cdbccfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11093",
    "kind": "arxiv",
    "version": 1
  }
}