Pith Number

pith:IQJF7Q3A

pith:2019:IQJF7Q3A44FDXSWM6VS6X46NNJ

not attested not anchored not stored refs pending

Cancellation in additively twisted sums on $\mathrm{GL}(2)$ with non-linear phase

Yongxiao Lin, Zhi Qi

arxiv:1906.06371 v2 · 2019-06-13 · 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{IQJF7Q3A44FDXSWM6VS6X46NNJ}

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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	2026-05-17T23:41:21.597500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44125fc360e70a3bcaccf565ebf3cd6a7de222e1897faae68f3d4a4a61337820

Aliases

arxiv: 1906.06371 · arxiv_version: 1906.06371v2 · doi: 10.48550/arxiv.1906.06371 · pith_short_12: IQJF7Q3A44FD · pith_short_16: IQJF7Q3A44FDXSWM · pith_short_8: IQJF7Q3A

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/IQJF7Q3A44FDXSWM6VS6X46NNJ \
  | 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: 44125fc360e70a3bcaccf565ebf3cd6a7de222e1897faae68f3d4a4a61337820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a3626dae1551f9a858dbf3e1ec42ebdff745c77d7ddabd2e8146823bc64f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-13T05:38:59Z",
    "title_canon_sha256": "d11c1da1fb78f373cd4fce5099968a7b7a1861bf7d62ee103dff915c6f2ee988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06371",
    "kind": "arxiv",
    "version": 2
  }
}