Pith Number

pith:RPV6C2FC

pith:2016:RPV6C2FCEXHBBBZZI32LMAWAVC

not attested not anchored not stored refs pending

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions

Biswajyoti Saha, Giovanni Coppola, M. Ram Murty

arxiv:1612.03136 v1 · 2016-12-09 · 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{RPV6C2FCEXHBBBZZI32LMAWAVC}

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	2026-05-18T00:55:26.421823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bebe168a225ce10873946f4b602c0a8895e866747446068d603e79ec6fc5b26

Aliases

arxiv: 1612.03136 · arxiv_version: 1612.03136v1 · doi: 10.48550/arxiv.1612.03136 · pith_short_12: RPV6C2FCEXHB · pith_short_16: RPV6C2FCEXHBBBZZ · pith_short_8: RPV6C2FC

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/RPV6C2FCEXHBBBZZI32LMAWAVC \
  | 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: 8bebe168a225ce10873946f4b602c0a8895e866747446068d603e79ec6fc5b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d825f16017b6f06bd060b4ae4fe167e9ac97c5cd66c421f8853ec12856e064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-09T19:31:39Z",
    "title_canon_sha256": "65bef11f5ec508daa2dd6c39b23e1d739b8d72f3f809be957930497d85211aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03136",
    "kind": "arxiv",
    "version": 1
  }
}