Pith Number

pith:4BVPTEJ6

pith:2016:4BVPTEJ6LOGUJD4CRYY2BL3DND

not attested not anchored not stored refs pending

Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus

Riccardo Walter Maffucci

arxiv:1603.09646 v2 · 2016-03-31 · 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{4BVPTEJ6LOGUJD4CRYY2BL3DND}

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	2026-05-18T00:46:08.282270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06af9913e5b8d448f828e31a0af6368c7d742cbca35c09c34f60255f51488fa

Aliases

arxiv: 1603.09646 · arxiv_version: 1603.09646v2 · doi: 10.48550/arxiv.1603.09646 · pith_short_12: 4BVPTEJ6LOGU · pith_short_16: 4BVPTEJ6LOGUJD4C · pith_short_8: 4BVPTEJ6

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/4BVPTEJ6LOGUJD4CRYY2BL3DND \
  | 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: e06af9913e5b8d448f828e31a0af6368c7d742cbca35c09c34f60255f51488fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8186b7c516289b0d393c4dd28c7149999dfa1e00f4dd99a6155084f72bef66f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-31T15:44:12Z",
    "title_canon_sha256": "fef683c35f35b4348b47ac444e3733505364728bbf974510859c3a302504f34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09646",
    "kind": "arxiv",
    "version": 2
  }
}