Pith Number

pith:2QEUGLMW

pith:2011:2QEUGLMWNHOV47NXXN3URLSMQ3

not attested not anchored not stored refs pending

On multiplicativity of Fourier coefficients at cusps other than infinity

Joseph Hundley

arxiv:1102.2295 v1 · 2011-02-11 · 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{2QEUGLMWNHOV47NXXN3URLSMQ3}

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	2026-05-18T04:28:56.319477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d409432d9669dd5e7db7bb7748ae4c86da8234ddef35e68739bd7232735b1d56

Aliases

arxiv: 1102.2295 · arxiv_version: 1102.2295v1 · doi: 10.48550/arxiv.1102.2295 · pith_short_12: 2QEUGLMWNHOV · pith_short_16: 2QEUGLMWNHOV47NX · pith_short_8: 2QEUGLMW

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/2QEUGLMWNHOV47NXXN3URLSMQ3 \
  | 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: d409432d9669dd5e7db7bb7748ae4c86da8234ddef35e68739bd7232735b1d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2dfd1dd797668ce81657c682d5d8b97f654025c13615de240b163cc1d42757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-11T07:32:27Z",
    "title_canon_sha256": "433d34a030094097092e3d88acd70c413e84e9921156a467ca799b3c9765eeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2295",
    "kind": "arxiv",
    "version": 1
  }
}