Pith Number

pith:RZFBCJDO

pith:2019:RZFBCJDORUD5Y4EQ5YW6Z4SUAB

not attested not anchored not stored refs pending

Explicit bounds on exceptional zeroes of Dirichlet L-function II

Matteo Bordignon

arxiv:1907.08327 v1 · 2019-07-19 · 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{RZFBCJDORUD5Y4EQ5YW6Z4SUAB}

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	2026-05-17T23:40:10.202380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4a11246e8d07dc7090ee2decf2540075a19dbb4597a9a1a103fdbdd3fec08f

Aliases

arxiv: 1907.08327 · arxiv_version: 1907.08327v1 · doi: 10.48550/arxiv.1907.08327 · pith_short_12: RZFBCJDORUD5 · pith_short_16: RZFBCJDORUD5Y4EQ · pith_short_8: RZFBCJDO

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/RZFBCJDORUD5Y4EQ5YW6Z4SUAB \
  | 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: 8e4a11246e8d07dc7090ee2decf2540075a19dbb4597a9a1a103fdbdd3fec08f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5605d77d8011145c9462768c14fad23eb146719fc3bb56c2f1e7c7fc617f9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-19T00:54:09Z",
    "title_canon_sha256": "7a1db5e730d3ca06e5e9df926dd7681e7278d148ce280cbb9a48eff91743c00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08327",
    "kind": "arxiv",
    "version": 1
  }
}