Pith Number

pith:SCEF3KHT

pith:2018:SCEF3KHTYIKAB7FTCGSOI5Y675

not attested not anchored not stored refs pending

Large values of Dirichlet $L$- functions inside the critical strip

Marc Munsch

arxiv:1803.03836 v2 · 2018-03-10 · 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{SCEF3KHTYIKAB7FTCGSOI5Y675}

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	2026-05-18T00:18:30.893345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90885da8f3c21400fcb311a4e4771eff54b73b681ab0702364fdb21aaebac63c

Aliases

arxiv: 1803.03836 · arxiv_version: 1803.03836v2 · doi: 10.48550/arxiv.1803.03836 · pith_short_12: SCEF3KHTYIKA · pith_short_16: SCEF3KHTYIKAB7FT · pith_short_8: SCEF3KHT

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/SCEF3KHTYIKAB7FTCGSOI5Y675 \
  | 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: 90885da8f3c21400fcb311a4e4771eff54b73b681ab0702364fdb21aaebac63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78603aa037b7fa5dd23e4ba1d1914372a7711fa4113ecefb08d92921685a22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-10T16:49:23Z",
    "title_canon_sha256": "34366b6b15de1a644cb10e53285b88a1d6e73035c1cbfcad635bbbc1dc03888d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03836",
    "kind": "arxiv",
    "version": 2
  }
}