Pith Number

pith:4OCZVDFB

pith:2013:4OCZVDFBFC7OW54LD7MCGS3KQN

not attested not anchored not stored refs pending

Strong orthogonality between the M\"obius function, additive characters, and Fourier coefficients of cusp forms

\'Etienne Fouvry, Satadal Ganguly

arxiv:1301.5507 v1 · 2013-01-23 · 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{4OCZVDFBFC7OW54LD7MCGS3KQN}

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	2026-05-17T23:53:17.964107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3859a8ca128beeb778b1fd8234b6a837216caa5b2db59bf8f92e498248e1849

Aliases

arxiv: 1301.5507 · arxiv_version: 1301.5507v1 · doi: 10.48550/arxiv.1301.5507 · pith_short_12: 4OCZVDFBFC7O · pith_short_16: 4OCZVDFBFC7OW54L · pith_short_8: 4OCZVDFB

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/4OCZVDFBFC7OW54LD7MCGS3KQN \
  | 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: e3859a8ca128beeb778b1fd8234b6a837216caa5b2db59bf8f92e498248e1849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810a253569986957a741acefbab51ba6cb8c1bc01d351dad277265103d14e4e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-23T14:10:52Z",
    "title_canon_sha256": "af73615b4c5a30110eec835f63f4de4da75ea03b363368ef06256632d5793d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5507",
    "kind": "arxiv",
    "version": 1
  }
}