Pith Number

pith:KZTVFDWT

pith:2015:KZTVFDWTPEVRJB4BC3GHWW6Y7V

not attested not anchored not stored refs pending

A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one primes

Dinakar Ramakrishnan, Kimball Martin

arxiv:1502.04175 v1 · 2015-02-14 · 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{KZTVFDWTPEVRJB4BC3GHWW6Y7V}

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	2026-05-18T00:35:49.227113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5667528ed3792b14878116cc7b5bd8fd4bbf9a66525613a1a9e60e2fcfb675fe

Aliases

arxiv: 1502.04175 · arxiv_version: 1502.04175v1 · doi: 10.48550/arxiv.1502.04175 · pith_short_12: KZTVFDWTPEVR · pith_short_16: KZTVFDWTPEVRJB4B · pith_short_8: KZTVFDWT

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/KZTVFDWTPEVRJB4BC3GHWW6Y7V \
  | 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: 5667528ed3792b14878116cc7b5bd8fd4bbf9a66525613a1a9e60e2fcfb675fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51e1d9c88cb326e86a39d553df6b104b8ba0c9f950b292f376429a2cec478c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-14T06:52:14Z",
    "title_canon_sha256": "42d55b6fed80e6c03cda35c9a6962ad2fc3054cb4ff92b0b10f344ea9aec20af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04175",
    "kind": "arxiv",
    "version": 1
  }
}