Pith Number

pith:R2YA5ROX

pith:2016:R2YA5ROXOBMRNH4JWU4COZ63TV

not attested not anchored not stored refs pending

Mating quadratic maps with the modular group II

Luna Lomonaco, Shaun Bullett

arxiv:1611.05257 v2 · 2016-11-16 · 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{R2YA5ROXOBMRNH4JWU4COZ63TV}

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	2026-05-18T00:33:53.021953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb00ec5d77059169f89b5382767db9d73d8b7721eddd450ed06864d7b5cd600

Aliases

arxiv: 1611.05257 · arxiv_version: 1611.05257v2 · doi: 10.48550/arxiv.1611.05257 · pith_short_12: R2YA5ROXOBMR · pith_short_16: R2YA5ROXOBMRNH4J · pith_short_8: R2YA5ROX

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/R2YA5ROXOBMRNH4JWU4COZ63TV \
  | 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: 8eb00ec5d77059169f89b5382767db9d73d8b7721eddd450ed06864d7b5cd600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4acf608466cd92fe6d66b7c1828ea669047828247c1b52fd2809685a418ab9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-16T12:37:32Z",
    "title_canon_sha256": "525cc442adc281e035a5c3fbb97d4476d8123ac28fe69badc88d646612ab8ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05257",
    "kind": "arxiv",
    "version": 2
  }
}