Pith Number

pith:ASHLRVNH

pith:2018:ASHLRVNH5ANESNFWNPLKLK3RZ7

not attested not anchored not stored refs pending

Euler's divergent series in arithmetic progressions

Anne-Maria Ernvall-Hyt\"onen, Louna Sepp\"al\"a, Tapani Matala-aho

arxiv:1809.03859 v1 · 2018-09-11 · 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{ASHLRVNH5ANESNFWNPLKLK3RZ7}

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	2026-05-18T00:05:57.923678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048eb8d5a7e81a4934b66bd6a5ab71cfe7db0cda9659828227bff6621e9048c5

Aliases

arxiv: 1809.03859 · arxiv_version: 1809.03859v1 · doi: 10.48550/arxiv.1809.03859 · pith_short_12: ASHLRVNH5ANE · pith_short_16: ASHLRVNH5ANESNFW · pith_short_8: ASHLRVNH

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/ASHLRVNH5ANESNFWNPLKLK3RZ7 \
  | 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: 048eb8d5a7e81a4934b66bd6a5ab71cfe7db0cda9659828227bff6621e9048c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d609a36d9ee6a320956e3c896910a681acc52b766fa82e7bbf43bf9680c418f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-11T13:23:57Z",
    "title_canon_sha256": "b3f53ac88111b49270f01a7393b4216f6220780539fa7d46950da66fcb0b39eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03859",
    "kind": "arxiv",
    "version": 1
  }
}