Pith Number

pith:4RPBHTFN

pith:2017:4RPBHTFNPFWGTPAV3ZULHBMNJS

not attested not anchored not stored refs pending

Bandlimited approximations and estimates for the Riemann zeta-function

Andr\'es Chirre, Emanuel Carneiro, Micah B. Milinovich

arxiv:1710.10362 v1 · 2017-10-28 · math.NT · 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{4RPBHTFNPFWGTPAV3ZULHBMNJS}

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	2026-07-05T03:18:22.930478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45e13ccad796c69bc15de68b3858d4c94851a1d431abec04feccc723e32d2f4

Aliases

arxiv: 1710.10362 · arxiv_version: 1710.10362v1 · doi: 10.48550/arxiv.1710.10362 · pith_short_12: 4RPBHTFNPFWG · pith_short_16: 4RPBHTFNPFWGTPAV · pith_short_8: 4RPBHTFN

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/4RPBHTFNPFWGTPAV3ZULHBMNJS \
  | 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: e45e13ccad796c69bc15de68b3858d4c94851a1d431abec04feccc723e32d2f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0dca31d1afd9f569169db27dd9133a8bc996be22908225d487bc6bbb9854dd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-28T00:44:58Z",
    "title_canon_sha256": "e73345db48bc83dec7ce9cfd2ff634d7366685968ce648c8a14b6eb7b879e4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10362",
    "kind": "arxiv",
    "version": 1
  }
}