Pith Number

pith:ZPVHVDTF

pith:2023:ZPVHVDTFNW2YRF63TFI3W7AGQ2

not attested not anchored not stored refs pending

The asymptotic formulae of sums of two smooth squares for divisor function

Haobo Dai, Nanxiang Wang

arxiv:2303.08391 v3 · 2023-03-15 · 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{ZPVHVDTFNW2YRF63TFI3W7AGQ2}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T06:19:39.967055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbea7a8e656db58897db9951bb7c068695f00d835cacc38663f5876e0efaef1b

Aliases

arxiv: 2303.08391 · arxiv_version: 2303.08391v3 · doi: 10.48550/arxiv.2303.08391 · pith_short_12: ZPVHVDTFNW2Y · pith_short_16: ZPVHVDTFNW2YRF63 · pith_short_8: ZPVHVDTF

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/ZPVHVDTFNW2YRF63TFI3W7AGQ2 \
  | 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: cbea7a8e656db58897db9951bb7c068695f00d835cacc38663f5876e0efaef1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2470a288c8414ada4a2fa7c372427935caaf6040438e23cdf0c36a924686c7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-15T06:45:35Z",
    "title_canon_sha256": "02472bbeeb6d87d431bac8e728f48240ff2703ba0ba2846104871f2fcdf1f84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.08391",
    "kind": "arxiv",
    "version": 3
  }
}