Pith Number

pith:BKSYHFD6

pith:2012:BKSYHFD6SJVCJ3HG2TSBH4JHYB

not attested not anchored not stored refs pending

Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis

Semyon Yakubovich

arxiv:1206.1166 v1 · 2012-06-06 · 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{BKSYHFD6SJVCJ3HG2TSBH4JHYB}

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	2026-05-18T03:54:06.771919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa583947e926a24ece6d4e413f127c067718822e96d4f6048ac8f233cbac971

Aliases

arxiv: 1206.1166 · arxiv_version: 1206.1166v1 · doi: 10.48550/arxiv.1206.1166 · pith_short_12: BKSYHFD6SJVC · pith_short_16: BKSYHFD6SJVCJ3HG · pith_short_8: BKSYHFD6

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/BKSYHFD6SJVCJ3HG2TSBH4JHYB \
  | 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: 0aa583947e926a24ece6d4e413f127c067718822e96d4f6048ac8f233cbac971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aadfa47f0ebe590637da443c5a8239f9856dbb882f557a3728e361aaad97ae55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-06T10:04:22Z",
    "title_canon_sha256": "5c7451d95a9555f572d30f7c3aa19df960a8f0f4510458648b1d07d1fbfdd3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1166",
    "kind": "arxiv",
    "version": 1
  }
}