Pith Number

pith:YOO57JRW

pith:2018:YOO57JRWB7HVHF3H2D2TNHQWPW

not attested not anchored not stored refs pending

On large values of $L(\sigma,\chi)$

Alexandre Peyrot, Christoph Aistleitner, Kamalakshya Mahatab, Marc Munsch

arxiv:1803.00760 v3 · 2018-03-02 · 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{YOO57JRWB7HVHF3H2D2TNHQWPW}

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	2026-05-18T00:00:30.613054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39ddfa6360fcf539767d0f5369e167daa85e5abfa8110ff2f2fd6e3ff17dbf8

Aliases

arxiv: 1803.00760 · arxiv_version: 1803.00760v3 · doi: 10.48550/arxiv.1803.00760 · pith_short_12: YOO57JRWB7HV · pith_short_16: YOO57JRWB7HVHF3H · pith_short_8: YOO57JRW

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/YOO57JRWB7HVHF3H2D2TNHQWPW \
  | 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: c39ddfa6360fcf539767d0f5369e167daa85e5abfa8110ff2f2fd6e3ff17dbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe7f47d720264bae67695ef9e36286addb4706f82d189c55873de83347aec33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-02T08:50:36Z",
    "title_canon_sha256": "2974bae16ed0f3bbcb901f069233c93b1c36b4fce02a15701ac1684c223f368b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00760",
    "kind": "arxiv",
    "version": 3
  }
}