Pith Number

pith:LVMUGRUM

pith:2013:LVMUGRUMD5ILV23QTCSGEYSYZH

not attested not anchored not stored refs pending

Integral mean estimates for the polar derivative of a polynomial

N. A. Rather, Suhail Gulzar

arxiv:1302.7066 v1 · 2013-02-28 · 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{LVMUGRUMD5ILV23QTCSGEYSYZH}

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	2026-05-18T03:29:15.493402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d5943468c1f50baeb7098a4626258c9f80630aa01148b2b36858831c0a0fc78

Aliases

arxiv: 1302.7066 · arxiv_version: 1302.7066v1 · doi: 10.48550/arxiv.1302.7066 · pith_short_12: LVMUGRUMD5IL · pith_short_16: LVMUGRUMD5ILV23Q · pith_short_8: LVMUGRUM

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/LVMUGRUMD5ILV23QTCSGEYSYZH \
  | 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: 5d5943468c1f50baeb7098a4626258c9f80630aa01148b2b36858831c0a0fc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046479d584226790ae61ee1c9cf93d3fe580fe5a158b7771476c8fea3033cdc6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-28T03:22:19Z",
    "title_canon_sha256": "c3de4d697760dcde9f0399dd26cf7a7de3259c91f5fb6918f6c82c999a9d252c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7066",
    "kind": "arxiv",
    "version": 1
  }
}