Pith Number

pith:SJZWWQHB

pith:2018:SJZWWQHBPGUGZURHKQCADGPOI4

not attested not anchored not stored refs pending

A vanishing criterion for Dirichlet series with periodic coefficients

M. Ram Murty, Siddhi Pathak, Tapas Chatterjee

arxiv:1809.01841 v1 · 2018-09-06 · 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{SJZWWQHBPGUGZURHKQCADGPOI4}

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	2026-05-18T00:06:21.824386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92736b40e179a86cd22754040199ee47385a66bd1a822d0f2eb17cc12d06f1f0

Aliases

arxiv: 1809.01841 · arxiv_version: 1809.01841v1 · doi: 10.48550/arxiv.1809.01841 · pith_short_12: SJZWWQHBPGUG · pith_short_16: SJZWWQHBPGUGZURH · pith_short_8: SJZWWQHB

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/SJZWWQHBPGUGZURHKQCADGPOI4 \
  | 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: 92736b40e179a86cd22754040199ee47385a66bd1a822d0f2eb17cc12d06f1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0c50858651681dbb467eaa07b4c219e67f0671d6c5f7d72b323f83ab4f6b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-06T06:19:34Z",
    "title_canon_sha256": "4e66c77e239b80dc177f12871f89d32ca46d89b5ef7525167c3a28abac429926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01841",
    "kind": "arxiv",
    "version": 1
  }
}