Pith Number

pith:TOLT5NQA

pith:2024:TOLT5NQABMSDHFXL7BHZ7NKWN3

not attested not anchored not stored refs pending

Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation

Prashant Batra

arxiv:2411.16385 v1 · 2024-11-25 · math.NA · cs.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{TOLT5NQABMSDHFXL7BHZ7NKWN3}

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	2026-07-05T09:40:08.481816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b973eb6000b243396ebf84f9fb5566eea1e896f9bf654caa89bf68f69b5e519

Aliases

arxiv: 2411.16385 · arxiv_version: 2411.16385v1 · doi: 10.48550/arxiv.2411.16385 · pith_short_12: TOLT5NQABMSD · pith_short_16: TOLT5NQABMSDHFXL · pith_short_8: TOLT5NQA

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/TOLT5NQABMSDHFXL7BHZ7NKWN3 \
  | 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: 9b973eb6000b243396ebf84f9fb5566eea1e896f9bf654caa89bf68f69b5e519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a65276737f0185a63c2fd60116c5c4029bac2e3562b708d417fa4dffc61972",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-25T13:46:02Z",
    "title_canon_sha256": "adf00c1c72b7cb7a8ba82894317e6ed020b92e119f785c727582c9792a61905f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16385",
    "kind": "arxiv",
    "version": 1
  }
}