Pith Number

pith:33AKXH7L

pith:2013:33AKXH7LKK3ARXGFZLRMLHIGV7

not attested not anchored not stored refs pending

The Riemann Hypothesis for Dirichlet $L$ Functions

Ross C. McPhedran

arxiv:1308.6431 v1 · 2013-08-29 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33AKXH7LKK3ARXGFZLRMLHIGV7}

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	2026-05-18T03:14:39.887949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec0ab9feb52b608dcc5cae2c59d06aff8672bd89dadd1e44546ba578836fecd

Aliases

arxiv: 1308.6431 · arxiv_version: 1308.6431v1 · doi: 10.48550/arxiv.1308.6431 · pith_short_12: 33AKXH7LKK3A · pith_short_16: 33AKXH7LKK3ARXGF · pith_short_8: 33AKXH7L

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/33AKXH7LKK3ARXGFZLRMLHIGV7 \
  | 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: dec0ab9feb52b608dcc5cae2c59d06aff8672bd89dadd1e44546ba578836fecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b9123f71a6cc4612c82b5630f4687ecc61f4d24812ad388ea113a31e8f4c09",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-29T11:14:13Z",
    "title_canon_sha256": "90ba434fbafaab2399f77f638200f39283c6b9370a3a45ae4f886dfe588def33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6431",
    "kind": "arxiv",
    "version": 1
  }
}