Pith Number

pith:AEOCGJFR

pith:2011:AEOCGJFR4CRCPLKKJR26XNQGZP

not attested not anchored not stored refs pending

Towards a renormalization theory for quasi-periodically forced one dimensional maps I. Existence of reducibility loss bifurcations

Angel Jorba, Joan Carles Tatjer, Pau Rabassa

arxiv:1112.4684 v1 · 2011-12-20 · 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{AEOCGJFR4CRCPLKKJR26XNQGZP}

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	2026-05-18T04:05:58.263477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011c2324b1e0a227ad4a4c75ebb606cbc39c0981816f96f4cf19c598b5308f84

Aliases

arxiv: 1112.4684 · arxiv_version: 1112.4684v1 · doi: 10.48550/arxiv.1112.4684 · pith_short_12: AEOCGJFR4CRC · pith_short_16: AEOCGJFR4CRCPLKK · pith_short_8: AEOCGJFR

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/AEOCGJFR4CRCPLKKJR26XNQGZP \
  | 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: 011c2324b1e0a227ad4a4c75ebb606cbc39c0981816f96f4cf19c598b5308f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01beb7ba99ef798106a49b21aa4abc09fb0c32ec6eda79e1b0b6c6134acd3b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-20T13:48:20Z",
    "title_canon_sha256": "cf4db540e50a124ae9e496597e61f6436721af0e19ec2f0bde045a24b262b250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4684",
    "kind": "arxiv",
    "version": 1
  }
}