Pith Number

pith:5433CXCE

pith:2018:5433CXCEAKB5TS7JXTLNMDIFZF

not attested not anchored not stored refs pending

Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus

Clemens Heuberger, Daniel Krenn, Helmut Prodinger

arxiv:1802.03266 v1 · 2018-02-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5433CXCEAKB5TS7JXTLNMDIFZF}

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	2026-05-18T00:06:25.193573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef37b15c440283d9cbe9bcd6d60d05c97fda71dbe87b0427e4a8c2525a3e4b39

Aliases

arxiv: 1802.03266 · arxiv_version: 1802.03266v1 · doi: 10.48550/arxiv.1802.03266 · pith_short_12: 5433CXCEAKB5 · pith_short_16: 5433CXCEAKB5TS7J · pith_short_8: 5433CXCE

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/5433CXCEAKB5TS7JXTLNMDIFZF \
  | 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: ef37b15c440283d9cbe9bcd6d60d05c97fda71dbe87b0427e4a8c2525a3e4b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a0c89ff8f61310e2fe4eb90939f88af6d6dee69c48a38d03cf71dda7e40336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-09T14:13:09Z",
    "title_canon_sha256": "e7569d91fda58fa2097bbf5e9aae2c8edd235ef98b0b8213adbb9f24543078b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03266",
    "kind": "arxiv",
    "version": 1
  }
}