Pith Number

pith:MWHGNHRY

pith:2018:MWHGNHRYERGXKBCRWR2QS2JICD

not attested not anchored not stored refs pending

The prime geodesic theorem in square mean

Andr\'as Bir\'o, Antal Balog, Gergely Harcos, P\'eter Maga

arxiv:1805.07461 v1 · 2018-05-18 · 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{MWHGNHRYERGXKBCRWR2QS2JICD}

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	2026-07-05T09:35:44.640569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

658e669e38244d750451b47509692810cb2a13f52331e890c3c45aaa5db78a70

Aliases

arxiv: 1805.07461 · arxiv_version: 1805.07461v1 · doi: 10.48550/arxiv.1805.07461 · pith_short_12: MWHGNHRYERGX · pith_short_16: MWHGNHRYERGXKBCR · pith_short_8: MWHGNHRY

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/MWHGNHRYERGXKBCRWR2QS2JICD \
  | 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: 658e669e38244d750451b47509692810cb2a13f52331e890c3c45aaa5db78a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f6b4e76988ea37e0c43b87af366f9b32be5e81cfa60aeebf47c55b646e7826",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-18T22:33:29Z",
    "title_canon_sha256": "d0298718677eb871aa64c6ae3992de37f5974d23b668674d4fa63a1a3376b58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07461",
    "kind": "arxiv",
    "version": 1
  }
}