Pith Number

pith:OVQCUWBX

pith:2017:OVQCUWBXQWZTEFWVUCMHRTI73F

not attested not anchored not stored refs pending

Exponential sums with automatic sequences

Clemens M\"ullner, Sary Drappeau

arxiv:1710.01091 v1 · 2017-10-03 · 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{OVQCUWBXQWZTEFWVUCMHRTI73F}

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	2026-05-18T00:33:45.330543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75602a583785b33216d5a09878cd1fd9592dea72f50226e493b634679d21467c

Aliases

arxiv: 1710.01091 · arxiv_version: 1710.01091v1 · doi: 10.48550/arxiv.1710.01091 · pith_short_12: OVQCUWBXQWZT · pith_short_16: OVQCUWBXQWZTEFWV · pith_short_8: OVQCUWBX

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/OVQCUWBXQWZTEFWVUCMHRTI73F \
  | 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: 75602a583785b33216d5a09878cd1fd9592dea72f50226e493b634679d21467c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688a8734e6db096c217c5bc872e53c83fe29ee705e5a7384a81ee29d44051a2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-03T11:40:38Z",
    "title_canon_sha256": "7db9138e060292c25b3ea0f219034ce9399b7d6e48053d858393deb6f5ff1659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01091",
    "kind": "arxiv",
    "version": 1
  }
}