Pith Number

pith:SLUGY3GE

pith:2015:SLUGY3GEEII52NINI5C7OJUCQX

not attested not anchored not stored refs pending

Some Riemann Hypotheses from Random Walks over Primes

Andr\'e LeClair, Guilherme Fran\c{c}a

arxiv:1509.03643 v3 · 2015-09-11 · math.NT · 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{SLUGY3GEEII52NINI5C7OJUCQX}

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	2026-05-18T00:30:33.205351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92e86c6cc42211dd350d4745f7268285fb8d9a751906c3a77419a3ba6736b035

Aliases

arxiv: 1509.03643 · arxiv_version: 1509.03643v3 · doi: 10.48550/arxiv.1509.03643 · pith_short_12: SLUGY3GEEII5 · pith_short_16: SLUGY3GEEII52NIN · pith_short_8: SLUGY3GE

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/SLUGY3GEEII52NINI5C7OJUCQX \
  | 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: 92e86c6cc42211dd350d4745f7268285fb8d9a751906c3a77419a3ba6736b035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e7f088410346c072a8e6bbc00bae2692fbf06b02d0ae9b3186167c54b59dc1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-11T20:14:57Z",
    "title_canon_sha256": "56bf4ba012026c6ac56c1735bfb4c13cc1979cf56836b6ff5bda18ab90c51884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03643",
    "kind": "arxiv",
    "version": 3
  }
}