Pith Number

pith:2CNSYCSN

pith:2017:2CNSYCSNTRFIKLSN34NBL2S7UB

not attested not anchored not stored refs pending

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions, II

Giovanni Coppola, M. Ram Murty

arxiv:1705.07193 v1 · 2017-05-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CNSYCSNTRFIKLSN34NBL2S7UB}

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	2026-05-17T23:56:30.318122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09b2c0a4d9c4a852e4ddf1a15ea5fa055540412986c8afbac793129bccda774

Aliases

arxiv: 1705.07193 · arxiv_version: 1705.07193v1 · doi: 10.48550/arxiv.1705.07193 · pith_short_12: 2CNSYCSNTRFI · pith_short_16: 2CNSYCSNTRFIKLSN · pith_short_8: 2CNSYCSN

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/2CNSYCSNTRFIKLSN34NBL2S7UB \
  | 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: d09b2c0a4d9c4a852e4ddf1a15ea5fa055540412986c8afbac793129bccda774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2dab2ad5e4a8b04a01889310c75ed364884ae2231184ba0bf6b3e2df31f018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-19T21:21:45Z",
    "title_canon_sha256": "551ed91ae87e219f376e3803809dd591f45e15cf414502d8cce9f78af34fcec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07193",
    "kind": "arxiv",
    "version": 1
  }
}