Pith Number

pith:LTGWYNKI

pith:2014:LTGWYNKI2TG5WKVUM2G7CC454C

not attested not anchored not stored refs pending

Voronoi Summation Formulae on GL(n)

Fan Zhou

arxiv:1410.3410 v2 · 2014-10-13 · 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{LTGWYNKI2TG5WKVUM2G7CC454C}

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	2026-05-18T00:51:58.489299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ccd6c3548d4cddb2ab4668df10b9de0bbb14d527ac048c9ae8613d017eeeee5

Aliases

arxiv: 1410.3410 · arxiv_version: 1410.3410v2 · doi: 10.48550/arxiv.1410.3410 · pith_short_12: LTGWYNKI2TG5 · pith_short_16: LTGWYNKI2TG5WKVU · pith_short_8: LTGWYNKI

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/LTGWYNKI2TG5WKVUM2G7CC454C \
  | 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: 5ccd6c3548d4cddb2ab4668df10b9de0bbb14d527ac048c9ae8613d017eeeee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984bcbda947ca1f8e6c16407535daf25f793d43e07f06221b429696db51b8a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-13T17:48:36Z",
    "title_canon_sha256": "77c25c363d9cf32df9111250c61e051eda3da715efd6ae9f96309f87258a1e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3410",
    "kind": "arxiv",
    "version": 2
  }
}