Pith Number

pith:R47DRSRQ

pith:2013:R47DRSRQ4S7A4NBNZWN77DMDVO

not attested not anchored not stored refs pending

Inverse Bernstein inequalities and min-max-min problems on the unit circle

Douglas P. Hardin, Edward B. Saff, Tam\'as Erd\'elyi

arxiv:1307.4056 v1 · 2013-07-15 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R47DRSRQ4S7A4NBNZWN77DMDVO}

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	2026-05-18T01:32:35.159394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f3e38ca30e4be0e342dcd9bff8d83abb76a3fb1c08c557f92aa4c9d1964026c

Aliases

arxiv: 1307.4056 · arxiv_version: 1307.4056v1 · doi: 10.48550/arxiv.1307.4056 · pith_short_12: R47DRSRQ4S7A · pith_short_16: R47DRSRQ4S7A4NBN · pith_short_8: R47DRSRQ

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/R47DRSRQ4S7A4NBNZWN77DMDVO \
  | 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: 8f3e38ca30e4be0e342dcd9bff8d83abb76a3fb1c08c557f92aa4c9d1964026c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d1d46187ef1762d52d50ef626520b607934912cc4ec499406026278e0028e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-07-15T18:56:58Z",
    "title_canon_sha256": "c0c94c70c5db80f61b61d3975bab3844fa02494ac46513f8202c2af3c3f97f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4056",
    "kind": "arxiv",
    "version": 1
  }
}