Pith Number

pith:GK4QS5M6

pith:2017:GK4QS5M6DXYQQOG6FP2MB6GQPA

not attested not anchored not stored refs pending

On the error term of a lattice counting problem, II

Olivier Bordell\`es

arxiv:1708.07317 v2 · 2017-08-24 · 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{GK4QS5M6DXYQQOG6FP2MB6GQPA}

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	2026-05-18T00:34:22.315496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b909759e1df10838de2bf4c0f8d07831ce84a560e829e99700e9f94b8dce2f

Aliases

arxiv: 1708.07317 · arxiv_version: 1708.07317v2 · doi: 10.48550/arxiv.1708.07317 · pith_short_12: GK4QS5M6DXYQ · pith_short_16: GK4QS5M6DXYQQOG6 · pith_short_8: GK4QS5M6

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/GK4QS5M6DXYQQOG6FP2MB6GQPA \
  | 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: 32b909759e1df10838de2bf4c0f8d07831ce84a560e829e99700e9f94b8dce2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca48416822a9fe5402d48aaecccc4ed3765db1b4b719697d51eae950b6a8ef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-24T08:59:49Z",
    "title_canon_sha256": "cd59d121b87b6f5f7533500ec19495c0ed50526f8fdf45426096a80fda154926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07317",
    "kind": "arxiv",
    "version": 2
  }
}