Pith Number

pith:BCKTJTTL

pith:2014:BCKTJTTLT7XFR3457GNLSHWYJT

not attested not anchored not stored refs pending

A Near-Optimal Algorithm for Computing Real Roots of Sparse Polynomials

Michael Sagraloff

arxiv:1401.6011 v1 · 2014-01-23 · cs.NA · cs.CC · cs.SC · 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{BCKTJTTLT7XFR3457GNLSHWYJT}

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	2026-05-18T03:01:23.131161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089534ce6b9fee58ef9df99ab91ed84ccadb74c555068ba4bddee16309980059

Aliases

arxiv: 1401.6011 · arxiv_version: 1401.6011v1 · doi: 10.48550/arxiv.1401.6011 · pith_short_12: BCKTJTTLT7XF · pith_short_16: BCKTJTTLT7XFR345 · pith_short_8: BCKTJTTL

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/BCKTJTTLT7XFR3457GNLSHWYJT \
  | 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: 089534ce6b9fee58ef9df99ab91ed84ccadb74c555068ba4bddee16309980059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcc57d804c46c99d7409a970f0cafd16f60576f17a1bd34f04a7520ea7244f8",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.SC",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2014-01-23T15:43:06Z",
    "title_canon_sha256": "b1faef898d684e27c5a52ec54e592bb2d7e350379c6cdd6c7bb3fa6ff04cd21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6011",
    "kind": "arxiv",
    "version": 1
  }
}