Pith Number

pith:5AEA3DSE

pith:2013:5AEA3DSE6R4MC3X7UV73JYCDSM

not attested not anchored not stored refs pending

Statistical and other properties of Riemann zeros based on an explicit equation for the $n$-th zero on the critical line

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

arxiv:1307.8395 v3 · 2013-07-29 · math.NT · hep-th · 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{5AEA3DSE6R4MC3X7UV73JYCDSM}

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	2026-05-18T02:56:44.107611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8080d8e44f478c16effa57fb4e04393393c442961b4ecb2cfb0edc7eb496c67

Aliases

arxiv: 1307.8395 · arxiv_version: 1307.8395v3 · doi: 10.48550/arxiv.1307.8395 · pith_short_12: 5AEA3DSE6R4M · pith_short_16: 5AEA3DSE6R4MC3X7 · pith_short_8: 5AEA3DSE

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/5AEA3DSE6R4MC3X7UV73JYCDSM \
  | 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: e8080d8e44f478c16effa57fb4e04393393c442961b4ecb2cfb0edc7eb496c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5db0ac9488e2ad3e574bde0d367212e29b1aeeb34abea3a4c2c5d1d7ee6504",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-29T20:17:54Z",
    "title_canon_sha256": "3a2b170a86346667c8259197154d7fffcf9d26a87b5698395306f13f7b18c740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8395",
    "kind": "arxiv",
    "version": 3
  }
}