Pith Number

pith:4MOFJSIK

pith:2024:4MOFJSIKVZH53MEJUQ6ZHOYLI3

not attested not anchored not stored refs pending

A note on zero density results implying large value estimates for Dirichlet polynomials

Joni Ter\"av\"ainen, Kaisa Matom\"aki

arxiv:2403.13157 v1 · 2024-03-19 · 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{4MOFJSIKVZH53MEJUQ6ZHOYLI3}

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.

Cited by

1 paper in Pith

Divisibility and primality in random walks

Receipt and verification

First computed	2026-07-05T07:58:32.005122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31c54c90aae4fddb089a43d93bb0b46c46e4de9281906b1e5aeab25d5866f14

Aliases

arxiv: 2403.13157 · arxiv_version: 2403.13157v1 · doi: 10.48550/arxiv.2403.13157 · pith_short_12: 4MOFJSIKVZH5 · pith_short_16: 4MOFJSIKVZH53MEJ · pith_short_8: 4MOFJSIK

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/4MOFJSIKVZH53MEJUQ6ZHOYLI3 \
  | 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: e31c54c90aae4fddb089a43d93bb0b46c46e4de9281906b1e5aeab25d5866f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee7a06bef9580834044a7ad659c2e6910d02c4aeded1b2ce5332d315f070741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-19T21:08:57Z",
    "title_canon_sha256": "d5a7104662a09ea49113425f9218813ed528b0841114a848b876fac2ac09faa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.13157",
    "kind": "arxiv",
    "version": 1
  }
}