Pith Number

pith:3MWSCTOY

pith:2014:3MWSCTOYR4NLPM56REMLFWTAML

not attested not anchored not stored refs pending

Identities Involving Zeros of Ramanujan and Shanks Cubic Polynomials

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1401.1474 v1 · 2014-01-07 · 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{3MWSCTOYR4NLPM56REMLFWTAML}

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	2026-05-18T03:03:08.293799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2d214dd88f1ab7b3be8918b2da6062da5195f075889046a2d46cf7ef73c332

Aliases

arxiv: 1401.1474 · arxiv_version: 1401.1474v1 · doi: 10.48550/arxiv.1401.1474 · pith_short_12: 3MWSCTOYR4NL · pith_short_16: 3MWSCTOYR4NLPM56 · pith_short_8: 3MWSCTOY

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/3MWSCTOYR4NLPM56REMLFWTAML \
  | 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: db2d214dd88f1ab7b3be8918b2da6062da5195f075889046a2d46cf7ef73c332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4b18741dd56007281d80f35f7f0d2955bbc870fb61882b7b23aba2ad685929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-07T18:49:57Z",
    "title_canon_sha256": "a45491b0bd013e21bd66dae1a11936c0745bdcedb7a7ef20a4da3b68baa464f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1474",
    "kind": "arxiv",
    "version": 1
  }
}