Pith Number

pith:QQXYYR2O

pith:2017:QQXYYR2OYLKBRHTUU5YGYYJ3FK

not attested not anchored not stored refs pending

Lattice points in bodies of revolution II

Carlos Pastor, Fernando Chamizo

arxiv:1709.08593 v2 · 2017-09-25 · 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{QQXYYR2OYLKBRHTUU5YGYYJ3FK}

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	2026-05-18T00:34:00.917494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842f8c474ec2d4189e74a7706c613b2a99ccc617b8d6dbb9c583e6f450ecf9c0

Aliases

arxiv: 1709.08593 · arxiv_version: 1709.08593v2 · doi: 10.48550/arxiv.1709.08593 · pith_short_12: QQXYYR2OYLKB · pith_short_16: QQXYYR2OYLKBRHTU · pith_short_8: QQXYYR2O

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/QQXYYR2OYLKBRHTUU5YGYYJ3FK \
  | 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: 842f8c474ec2d4189e74a7706c613b2a99ccc617b8d6dbb9c583e6f450ecf9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f74d5046349a7fc84780e6b087c803d4f23ef000ee79d2a6b115d1830fc62a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-25T16:49:48Z",
    "title_canon_sha256": "fe17c1915a3ff23cc469bcf078195f7fd208a89902c44027ea6d563a7b6695c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08593",
    "kind": "arxiv",
    "version": 2
  }
}