Pith Number

pith:JPLZWXZE

pith:2017:JPLZWXZEG4MFFBEFJGJ4A7TWPH

not attested not anchored not stored refs pending

Finite generating functions for the sum of digits sequence

C. Vignat, T. Wakhare

arxiv:1708.06479 v2 · 2017-08-22 · 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{JPLZWXZEG4MFFBEFJGJ4A7TWPH}

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	2026-05-18T00:32:30.523622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd79b5f2437185284854993c07e7679e4da1906dbea4341ef5960958809cd8f

Aliases

arxiv: 1708.06479 · arxiv_version: 1708.06479v2 · doi: 10.48550/arxiv.1708.06479 · pith_short_12: JPLZWXZEG4MF · pith_short_16: JPLZWXZEG4MFFBEF · pith_short_8: JPLZWXZE

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/JPLZWXZEG4MFFBEFJGJ4A7TWPH \
  | 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: 4bd79b5f2437185284854993c07e7679e4da1906dbea4341ef5960958809cd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed393104e742b181861857d26ce421fef7b04718323c65b106120223419a4ddc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-22T02:18:39Z",
    "title_canon_sha256": "e948526de4600a1ffff169becdbac7fecac0e3a42621ddeac4891cf7cc9b3220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06479",
    "kind": "arxiv",
    "version": 2
  }
}