Pith Number

pith:ZFNKOUPJ

pith:2017:ZFNKOUPJD2VERTPJLF7VV7UUSZ

not attested not anchored not stored refs pending

On the error term of a lattice counting problem

Florian Luca, Igor E. Shparlinski

arxiv:1705.08714 v1 · 2017-05-24 · 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{ZFNKOUPJD2VERTPJLF7VV7UUSZ}

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	2026-05-18T00:43:44.461266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95aa751e91eaa48cde9597f5afe949642d6c5719ee6b2b5f5b55d34ef57b668

Aliases

arxiv: 1705.08714 · arxiv_version: 1705.08714v1 · doi: 10.48550/arxiv.1705.08714 · pith_short_12: ZFNKOUPJD2VE · pith_short_16: ZFNKOUPJD2VERTPJ · pith_short_8: ZFNKOUPJ

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/ZFNKOUPJD2VERTPJLF7VV7UUSZ \
  | 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: c95aa751e91eaa48cde9597f5afe949642d6c5719ee6b2b5f5b55d34ef57b668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b8bb2ad94445b17fedea7565803ed4b407a632515ece1c165b352951b41e8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-24T11:57:42Z",
    "title_canon_sha256": "164051b8258ab51a8dfca1012d22e7d08b3a4a994a85056c5db99ec17f2dd5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08714",
    "kind": "arxiv",
    "version": 1
  }
}