Pith Number

pith:E2KE7SOH

pith:2008:E2KE7SOH5NPIISLLJYDLNE7CSV

not attested not anchored not stored refs pending

An Orthogonal Test of the L-Functions Ratios Conjecture

Steven J. Miller

arxiv:0805.4208 v1 · 2008-05-27 · 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{E2KE7SOH5NPIISLLJYDLNE7CSV}

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	2026-05-18T04:41:04.041880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26944fc9c7eb5e84496b4e06b693e295498922bc5ab3433929f742b84eeac788

Aliases

arxiv: 0805.4208 · arxiv_version: 0805.4208v1 · doi: 10.48550/arxiv.0805.4208 · pith_short_12: E2KE7SOH5NPI · pith_short_16: E2KE7SOH5NPIISLL · pith_short_8: E2KE7SOH

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/E2KE7SOH5NPIISLLJYDLNE7CSV \
  | 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: 26944fc9c7eb5e84496b4e06b693e295498922bc5ab3433929f742b84eeac788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e23cd50c3a3272a1c46fe1fd8198ba5d51efb6301ec386cfe4616648c74b5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-27T20:25:47Z",
    "title_canon_sha256": "c3571cb096bc96ed6a69a88589b2f5869207efca0979f74faf140d18a5bfe8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4208",
    "kind": "arxiv",
    "version": 1
  }
}