Pith Number

pith:MJ5LLLES

pith:2003:MJ5LLLESGB3GGEQ3Z3E2ZCU3XI

not attested not anchored not stored refs pending

A quadratic approximation to the Sendov radius near the unit circle

Michael Miller

arxiv:math/0310004 v1 · 2003-10-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ5LLLESGB3GGEQ3Z3E2ZCU3XI}

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	2026-07-04T14:37:45.624883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627ab5ac92307663121bcec9ac8a9bba17aec7cec1dda1d144bf5feb0c82e922

Aliases

arxiv: math/0310004 · arxiv_version: math/0310004v1 · doi: 10.48550/arxiv.math/0310004 · pith_short_12: MJ5LLLESGB3G · pith_short_16: MJ5LLLESGB3GGEQ3 · pith_short_8: MJ5LLLES

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/MJ5LLLESGB3GGEQ3Z3E2ZCU3XI \
  | 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: 627ab5ac92307663121bcec9ac8a9bba17aec7cec1dda1d144bf5feb0c82e922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3103c98512cf9ddefebe3ee37a48248a7cdb6e5dc0fee793b2f9f8d4309671",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2003-10-01T01:35:08Z",
    "title_canon_sha256": "4e9bd74bdbc75b82301105033753d0501bc24d6694c3d5012e93aa3081443387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310004",
    "kind": "arxiv",
    "version": 1
  }
}