Pith Number

pith:K2X5FCAT

pith:2017:K2X5FCATPAQNSQN4RKZ23QGODJ

not attested not anchored not stored refs pending

Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms

Florian Luca, Jean-Marc Deshouillers, Sanoli Gun, Yuri Bilu

arxiv:1701.01915 v4 · 2017-01-08 · 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{K2X5FCATPAQNSQN4RKZ23QGODJ}

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	2026-05-17T23:53:12.891974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56afd288137820d941bc8ab3adc0ce1a7126d563483e1f614470ed00a389d528

Aliases

arxiv: 1701.01915 · arxiv_version: 1701.01915v4 · doi: 10.48550/arxiv.1701.01915 · pith_short_12: K2X5FCATPAQN · pith_short_16: K2X5FCATPAQNSQN4 · pith_short_8: K2X5FCAT

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/K2X5FCATPAQNSQN4RKZ23QGODJ \
  | 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: 56afd288137820d941bc8ab3adc0ce1a7126d563483e1f614470ed00a389d528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea083f91b230c18118b72694a9c4363cc583471321de007638bcbd4cb9b0def6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-08T06:03:04Z",
    "title_canon_sha256": "4645bd49d0134c532fecf68b25894a4ee855a5a1b83907cb235783cfb591ca52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01915",
    "kind": "arxiv",
    "version": 4
  }
}