Pith Number

pith:MPP5BXBA

pith:2012:MPP5BXBAKSI4JCLEJSOS2DH5UP

not attested not anchored not stored refs pending

A Generalization of the Binomial Interpolated Operator and its Action on Linear Recurrent Sequences

Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1212.3706 v1 · 2012-12-15 · 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{MPP5BXBAKSI4JCLEJSOS2DH5UP}

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	2026-05-18T03:38:22.617874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63dfd0dc205491c489644c9d2d0cfda3f915dd055bd508ce0c70bd4c724a6126

Aliases

arxiv: 1212.3706 · arxiv_version: 1212.3706v1 · doi: 10.48550/arxiv.1212.3706 · pith_short_12: MPP5BXBAKSI4 · pith_short_16: MPP5BXBAKSI4JCLE · pith_short_8: MPP5BXBA

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/MPP5BXBAKSI4JCLEJSOS2DH5UP \
  | 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: 63dfd0dc205491c489644c9d2d0cfda3f915dd055bd508ce0c70bd4c724a6126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a01289f901f8bdf06835f2913855e5b03de0dfacf4aac8061d91bd042de276",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-15T17:43:23Z",
    "title_canon_sha256": "1fddbea825a205ebc9c98ad081c01ced4cb6810c77346289c4940fc4e3c2d885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3706",
    "kind": "arxiv",
    "version": 1
  }
}