Pith Number

pith:URPHNTUE

pith:2024:URPHNTUERPORP4SRY4V6K47XFW

not attested not anchored not stored refs pending

On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function

Subham De

arxiv:2407.12052 v6 · 2024-07-08 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URPHNTUERPORP4SRY4V6K47XFW}

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	2026-07-05T08:57:05.668522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45e76ce848bdd17f251c72be573f72d8a8f9e4371e35bd4e8f913a4749d5e22

Aliases

arxiv: 2407.12052 · arxiv_version: 2407.12052v6 · doi: 10.48550/arxiv.2407.12052 · pith_short_12: URPHNTUERPOR · pith_short_16: URPHNTUERPORP4SR · pith_short_8: URPHNTUE

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/URPHNTUERPORP4SRY4V6K47XFW \
  | 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: a45e76ce848bdd17f251c72be573f72d8a8f9e4371e35bd4e8f913a4749d5e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5ca59d487f7571e587012cf50f403ea1d4370fe6d942e887df0d6d75d2dcf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2024-07-08T12:40:19Z",
    "title_canon_sha256": "7e6f3e53700b9cd5c2d1b1acd4ea6491a0daab9990e724fabd7471b959abdd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12052",
    "kind": "arxiv",
    "version": 6
  }
}