Pith Number

pith:K4XFS7HM

pith:2017:K4XFS7HM2CARCKXM4QDYNEMCXU

not attested not anchored not stored refs pending

Random eigenfunctions on flat tori: universality for the number of intersections

Hoi Nguyen, Mei-Chu Chang, Oanh Nguyen, Van Vu

arxiv:1707.05255 v1 · 2017-07-17 · math.PR · math.CO · 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{K4XFS7HM2CARCKXM4QDYNEMCXU}

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	2026-05-18T00:40:09.069151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572e597cecd081112aece407869182bd1c881015c67604cbfde14401d6fd4e25

Aliases

arxiv: 1707.05255 · arxiv_version: 1707.05255v1 · doi: 10.48550/arxiv.1707.05255 · pith_short_12: K4XFS7HM2CAR · pith_short_16: K4XFS7HM2CARCKXM · pith_short_8: K4XFS7HM

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/K4XFS7HM2CARCKXM4QDYNEMCXU \
  | 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: 572e597cecd081112aece407869182bd1c881015c67604cbfde14401d6fd4e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5bd13e4975ad00c06a5c6a03f26b8a781c6db99f67252f9c6f2f84079541b3",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-17T16:09:27Z",
    "title_canon_sha256": "f8bab79ae1b33bc708a2a805bd69824f10737176ab06e435415e5e153714dd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05255",
    "kind": "arxiv",
    "version": 1
  }
}