Pith Number

pith:Z4HH72ED

pith:2020:Z4HH72EDLICQELUVPIKOGSPCUM

not attested not anchored not stored refs pending

A note on the zeros of approximations of the Ramanujan $\Xi-$function

Andr\'es Chirre, Oswaldo Vel\'asquez Casta\~n\'on

arxiv:2004.14465 v1 · 2020-04-29 · math.NT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4HH72EDLICQELUVPIKOGSPCUM}

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	2026-07-05T00:59:26.541731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0e7fe8835a05022e957a14e349e2a330532503d39d5b6e36dcdaff06f76a86

Aliases

arxiv: 2004.14465 · arxiv_version: 2004.14465v1 · doi: 10.48550/arxiv.2004.14465 · pith_short_12: Z4HH72EDLICQ · pith_short_16: Z4HH72EDLICQELUV · pith_short_8: Z4HH72ED

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/Z4HH72EDLICQELUVPIKOGSPCUM \
  | 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: cf0e7fe8835a05022e957a14e349e2a330532503d39d5b6e36dcdaff06f76a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fddeda9a18648fc12cada3627f4f25bc044133fdbcb9d959398744b41dc7098",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-04-29T20:39:27Z",
    "title_canon_sha256": "b233ce2ccde0b1e94fc79f59d30aa7030760d8af0564a1ccd4e13a1490bc4f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.14465",
    "kind": "arxiv",
    "version": 1
  }
}