Pith Number

pith:EBDJ7XYE

pith:2025:EBDJ7XYEAEFW6JTY475CRCEMSB

not attested not anchored not stored refs pending

Picturesque convolution-like recurrences and partial sums' generation

Andrius Grigutis, Ignas Gasparavi\v{c}ius, Juozas Petkelis

arxiv:2507.23619 v1 · 2025-07-31 · 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{EBDJ7XYEAEFW6JTY475CRCEMSB}

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	2026-07-05T11:46:28.096526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20469fdf04010b6f2678e7fa28888c907955da37aed1a1eac54db097ddf5aaaa

Aliases

arxiv: 2507.23619 · arxiv_version: 2507.23619v1 · doi: 10.48550/arxiv.2507.23619 · pith_short_12: EBDJ7XYEAEFW · pith_short_16: EBDJ7XYEAEFW6JTY · pith_short_8: EBDJ7XYE

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/EBDJ7XYEAEFW6JTY475CRCEMSB \
  | 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: 20469fdf04010b6f2678e7fa28888c907955da37aed1a1eac54db097ddf5aaaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3806926c42d642934a4a99c7fee90dc17665be18a00b51226edfed5cf6a0e08c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-31T14:58:18Z",
    "title_canon_sha256": "0196671a00c98e32c3159c40f096d40bedcbe80097d05a05fd87ef7399fb934e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23619",
    "kind": "arxiv",
    "version": 1
  }
}