Pith Number

pith:FAUV6MWN

pith:2011:FAUV6MWNYW3FU5DJTF36K2NMFS

not attested not anchored not stored refs pending

Period doubling and reducibility in the quasi-periodically forced logistic map

Angel Jorba, Joan Carles Tatjer, Pau Rabassa

arxiv:1112.4065 v1 · 2011-12-17 · 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{FAUV6MWNYW3FU5DJTF36K2NMFS}

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	2026-05-18T04:06:07.078363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28295f32cdc5b65a74699977e569ac2c9226109c9af3feb01841fd298cd59e62

Aliases

arxiv: 1112.4065 · arxiv_version: 1112.4065v1 · doi: 10.48550/arxiv.1112.4065 · pith_short_12: FAUV6MWNYW3F · pith_short_16: FAUV6MWNYW3FU5DJ · pith_short_8: FAUV6MWN

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/FAUV6MWNYW3FU5DJTF36K2NMFS \
  | 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: 28295f32cdc5b65a74699977e569ac2c9226109c9af3feb01841fd298cd59e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb79ea0262123adf339ba8c3331f36ab0d8000ef2a0c5a4b2e0320d9dc6cf10d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-17T15:26:18Z",
    "title_canon_sha256": "219b6920e92cb4460dcc5a68e43007df29630b992bbe48b98c63934a1aa35057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4065",
    "kind": "arxiv",
    "version": 1
  }
}