Pith Number

pith:PFIWU3GU

pith:2010:PFIWU3GU2EBSYDCBPMVU6K76SO

not attested not anchored not stored refs pending

Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator

M. Shojaei

arxiv:1011.3506 v2 · 2010-11-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFIWU3GU2EBSYDCBPMVU6K76SO}

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	2026-05-18T04:35:48.661759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79516a6cd4d1032c0c417b2b4f2bfe939ddf72a49c8e51f5de1025af87c32dff

Aliases

arxiv: 1011.3506 · arxiv_version: 1011.3506v2 · doi: 10.48550/arxiv.1011.3506 · pith_short_12: PFIWU3GU2EBS · pith_short_16: PFIWU3GU2EBSYDCB · pith_short_8: PFIWU3GU

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/PFIWU3GU2EBSYDCBPMVU6K76SO \
  | 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: 79516a6cd4d1032c0c417b2b4f2bfe939ddf72a49c8e51f5de1025af87c32dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860c27465c87998e8559db734684b35c1bcc16126748ecad26609770332833bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-15T20:51:03Z",
    "title_canon_sha256": "1ca1d1f2347804f690bec96b5b38b84aedfaaaca22929f069c25256539c1aa68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3506",
    "kind": "arxiv",
    "version": 2
  }
}