Pith Number

pith:32EXPR5C

pith:2017:32EXPR5CCOW4YC4ERZE2D5DMRR

not attested not anchored not stored refs pending

Averaging almost periodic functions along exponential sequences

Alan Haynes (Houston), Daniel Lenz (Jena), Michael Baake (Bielefeld)

arxiv:1704.08120 v1 · 2017-04-26 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32EXPR5CCOW4YC4ERZE2D5DMRR}

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	2026-05-18T00:25:20.696454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8977c7a213adcc0b848e49a1f46c8c59cb65e76d7eb6992239a935d6d01579

Aliases

arxiv: 1704.08120 · arxiv_version: 1704.08120v1 · doi: 10.48550/arxiv.1704.08120 · pith_short_12: 32EXPR5CCOW4 · pith_short_16: 32EXPR5CCOW4YC4E · pith_short_8: 32EXPR5C

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/32EXPR5CCOW4YC4ERZE2D5DMRR \
  | 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: de8977c7a213adcc0b848e49a1f46c8c59cb65e76d7eb6992239a935d6d01579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffb2e59cee18f6b94efc21af7dcf58cd7b0ef9d995a1f757385677cbed4311d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-26T13:51:58Z",
    "title_canon_sha256": "58c8679098973569406b7b099863edf783d8240039b7e66608f5d973968a2960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08120",
    "kind": "arxiv",
    "version": 1
  }
}