Pith Number

pith:X2IR3FQ6

pith:2016:X2IR3FQ6OF6A4CAXV7M3MHJ7SO

not attested not anchored not stored refs pending

Local Conjugacy of Irreducible Hyperbolic Toral Automorphisms

Lennard F Bakker, Miguel M. R. Moreira, Pedro Martins Rodrigues

arxiv:1611.05551 v1 · 2016-11-17 · math.NT · 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{X2IR3FQ6OF6A4CAXV7M3MHJ7SO}

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	2026-05-18T00:58:03.286450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be911d961e717c0e0817afd9b61d3f93a2835cfee94a8f46819df676371c7f05

Aliases

arxiv: 1611.05551 · arxiv_version: 1611.05551v1 · doi: 10.48550/arxiv.1611.05551 · pith_short_12: X2IR3FQ6OF6A · pith_short_16: X2IR3FQ6OF6A4CAX · pith_short_8: X2IR3FQ6

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/X2IR3FQ6OF6A4CAXV7M3MHJ7SO \
  | 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: be911d961e717c0e0817afd9b61d3f93a2835cfee94a8f46819df676371c7f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8dcb6efbde07f21e1ea2ae9e6db0d0c4116501304b42b159e27d4900eac4587",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-17T03:44:55Z",
    "title_canon_sha256": "f1941b8f8a1e408d62bbf1614da38225e78fe645142f5a6fd77a4ed2f9e403eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05551",
    "kind": "arxiv",
    "version": 1
  }
}