Pith Number

pith:N7SETGX7

pith:2012:N7SETGX7FKKY5NFQPKSMCTV3TO

not attested not anchored not stored refs pending

Ramanujan sums as supercharacters

Christopher F. Fowler, Gizem Karaali, Stephan Ramon Garcia

arxiv:1201.1060 v4 · 2012-01-05 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7SETGX7FKKY5NFQPKSMCTV3TO}

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	2026-05-18T02:39:38.457740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe4499aff2a958eb4b07aa4c14ebb9bb943b44f59f838f47dd2fd708d291a84

Aliases

arxiv: 1201.1060 · arxiv_version: 1201.1060v4 · doi: 10.48550/arxiv.1201.1060 · pith_short_12: N7SETGX7FKKY · pith_short_16: N7SETGX7FKKY5NFQ · pith_short_8: N7SETGX7

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/N7SETGX7FKKY5NFQPKSMCTV3TO \
  | 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: 6fe4499aff2a958eb4b07aa4c14ebb9bb943b44f59f838f47dd2fd708d291a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666968c838b903615c2f80b449c57966583bcf1b10fb289a7f5d2bc5ebbffd0e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-05T04:53:26Z",
    "title_canon_sha256": "afa5063899ee523f11853a30c7c951a3bd98a4a4ed9c403108ea4f323b0771d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1060",
    "kind": "arxiv",
    "version": 4
  }
}