Pith Number

pith:3GAS2ABB

pith:2017:3GAS2ABBWMWUUX7RPXYQ22JHTE

not attested not anchored not stored refs pending

Mean square in the prime geodesic theorem

Giacomo Cherubini, Jo\~ao Guerreiro

arxiv:1702.00297 v2 · 2017-02-01 · 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{3GAS2ABBWMWUUX7RPXYQ22JHTE}

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	2026-05-18T00:04:32.686668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9812d0021b32d4a5ff17df10d69279930135a1cca2e98e003bbcb5231511684

Aliases

arxiv: 1702.00297 · arxiv_version: 1702.00297v2 · doi: 10.48550/arxiv.1702.00297 · pith_short_12: 3GAS2ABBWMWU · pith_short_16: 3GAS2ABBWMWUUX7R · pith_short_8: 3GAS2ABB

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/3GAS2ABBWMWUUX7RPXYQ22JHTE \
  | 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: d9812d0021b32d4a5ff17df10d69279930135a1cca2e98e003bbcb5231511684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c71f6045d6dd5b9277bd0345e5d59736ed283e017bd7609853633a3ac2445d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-01T14:56:38Z",
    "title_canon_sha256": "3cd46f0141785b5ab310545ebcd007cc2067f5161a401e04f1c1c5c76d8cc956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00297",
    "kind": "arxiv",
    "version": 2
  }
}