Pith Number

pith:EBTXRVMV

pith:2013:EBTXRVMVJAW6YMJW6H26JDCBK2

not attested not anchored not stored refs pending

On the generating functions of a periodic infinite order linear recurrence

Ant\'onio Bravo, Henrique M. Oliveira

arxiv:1311.1546 v1 · 2013-11-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBTXRVMVJAW6YMJW6H26JDCBK2}

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	2026-05-18T03:07:43.921293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

206778d595482dec3136f1f5e48c41568265c40ead9fdbb205c9be9371ba8f0b

Aliases

arxiv: 1311.1546 · arxiv_version: 1311.1546v1 · doi: 10.48550/arxiv.1311.1546 · pith_short_12: EBTXRVMVJAW6 · pith_short_16: EBTXRVMVJAW6YMJW · pith_short_8: EBTXRVMV

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/EBTXRVMVJAW6YMJW6H26JDCBK2 \
  | 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: 206778d595482dec3136f1f5e48c41568265c40ead9fdbb205c9be9371ba8f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f9c6528edb7b4f8b10a1f1fd1a95ea2ad8cb2bb421105436ae61357dcd3158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-06T23:09:45Z",
    "title_canon_sha256": "2060790d9a6e0566a2a1c315c513df8038405c5fdff58ed1f57db29bc00326e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1546",
    "kind": "arxiv",
    "version": 1
  }
}