Pith Number

pith:DRGZNSAN

pith:2016:DRGZNSANAGTIGNMR6DDMV2NJGM

not attested not anchored not stored refs pending

Cancellation in the Additive Twists of Fourier Coefficients for $\mathrm{GL}_2$ and $\mathrm{GL}_3$ over Number Fields

Zhi Qi

arxiv:1610.05380 v3 · 2016-10-17 · 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{DRGZNSANAGTIGNMR6DDMV2NJGM}

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	2026-05-18T00:01:39.298028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4d96c80d01a6833591f0c6cae9a9333d4b69ccac716662a3e6d866f80c5266

Aliases

arxiv: 1610.05380 · arxiv_version: 1610.05380v3 · doi: 10.48550/arxiv.1610.05380 · pith_short_12: DRGZNSANAGTI · pith_short_16: DRGZNSANAGTIGNMR · pith_short_8: DRGZNSAN

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/DRGZNSANAGTIGNMR6DDMV2NJGM \
  | 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: 1c4d96c80d01a6833591f0c6cae9a9333d4b69ccac716662a3e6d866f80c5266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2085e34a151816e3673bd3d7511460393195ee584d32b36c40df161cc34c6d01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-17T23:33:43Z",
    "title_canon_sha256": "44543be5bff9049465d638319a8a252e8b2a726de801ff1501696b6eb81f146b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05380",
    "kind": "arxiv",
    "version": 3
  }
}