Pith Number

pith:L4WMPJLN

pith:2018:L4WMPJLN76KDYJL6JJDDKUN2M2

not attested not anchored not stored refs pending

Bounds for a spectral exponential sum

Dmitry Frolenkov, Olga Balkanova

arxiv:1803.04201 v2 · 2018-03-12 · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4WMPJLN76KDYJL6JJDDKUN2M2}

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	2026-05-18T00:05:31.862079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2cc7a56dff943c257e4a463551ba66b222e1a4839d0cea54eaa418e6d65788

Aliases

arxiv: 1803.04201 · arxiv_version: 1803.04201v2 · doi: 10.48550/arxiv.1803.04201 · pith_short_12: L4WMPJLN76KD · pith_short_16: L4WMPJLN76KDYJL6 · pith_short_8: L4WMPJLN

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/L4WMPJLN76KDYJL6JJDDKUN2M2 \
  | 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: 5f2cc7a56dff943c257e4a463551ba66b222e1a4839d0cea54eaa418e6d65788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd5e81e1d5a4023c4bcb59ee74f02f1eb86fe277d6e061833e5ef558b2435b7",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-12T11:33:48Z",
    "title_canon_sha256": "91e8109151ac6297a0e37150f0385dd19b053c2093206b5f1c8adbd2bf0ed7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04201",
    "kind": "arxiv",
    "version": 2
  }
}