Pith Number

pith:J2IBG574

pith:2013:J2IBG574NR5KK6TLUNR62Y5XK4

not attested not anchored not stored refs pending

Bivariate Generating Functions for a Class of Linear Recurrences: General Structure

Eduardo J. S. Villase\~nor, Jes\'us Salas, J. Fernando Barbero G.

arxiv:1307.2010 v2 · 2013-07-08 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2IBG574NR5KK6TLUNR62Y5XK4}

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	2026-05-18T02:55:58.996149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e901377fc6c7aa57a6ba363ed63b7573fe6a68a51d0a05fa4db6529e3e2435b

Aliases

arxiv: 1307.2010 · arxiv_version: 1307.2010v2 · doi: 10.48550/arxiv.1307.2010 · pith_short_12: J2IBG574NR5K · pith_short_16: J2IBG574NR5KK6TL · pith_short_8: J2IBG574

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/J2IBG574NR5KK6TLUNR62Y5XK4 \
  | 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: 4e901377fc6c7aa57a6ba363ed63b7573fe6a68a51d0a05fa4db6529e3e2435b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39568a5432da2afbae4061f51561e1cd34da09083a71280999369155c8c01a96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-08T09:58:46Z",
    "title_canon_sha256": "64cb1105bcf488e84e75e484c5036cebc850d95acd13eb3d2268bea99405e5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2010",
    "kind": "arxiv",
    "version": 2
  }
}