Pith Number

pith:LKP6Q4PM

pith:2013:LKP6Q4PMUWTDVLQTDUIFCP3I2Y

not attested not anchored not stored refs pending

An Approximation Inequality for Continued Radicals and Power Forms

Soumendu Sundar Mukherjee

arxiv:1303.4251 v3 · 2013-03-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKP6Q4PMUWTDVLQTDUIFCP3I2Y}

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	2026-05-18T03:09:12.614814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9fe871eca5a63aae131d10513f68d61d763b460a8b53404e6c362f37bfd323

Aliases

arxiv: 1303.4251 · arxiv_version: 1303.4251v3 · doi: 10.48550/arxiv.1303.4251 · pith_short_12: LKP6Q4PMUWTD · pith_short_16: LKP6Q4PMUWTDVLQT · pith_short_8: LKP6Q4PM

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/LKP6Q4PMUWTDVLQTDUIFCP3I2Y \
  | 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: 5a9fe871eca5a63aae131d10513f68d61d763b460a8b53404e6c362f37bfd323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239ade433c1089467d7a25667bc9402ae26718f81b76a3eb477451eb02eeecf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-18T13:54:28Z",
    "title_canon_sha256": "461853dfab4d5b17e554b52aadd21c69ab78d024ae6fc5ea1deba3d413b302a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4251",
    "kind": "arxiv",
    "version": 3
  }
}