Pith Number

pith:2SXWZKPZ

pith:2011:2SXWZKPZDONNCPXGQRPKYLWU3E

not attested not anchored not stored refs pending

A Profinite Group Invariant for Hyperbolic Toral Automorphisms

Lennard F. Bakker, Pedro Martins Rodrigues

arxiv:1102.0839 v1 · 2011-02-04 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SXWZKPZDONNCPXGQRPKYLWU3E}

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	2026-05-18T04:30:03.526360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4af6ca9f91b9ad13ee6845eac2ed4d92beffb0a8284594d8260d3363e3c85af

Aliases

arxiv: 1102.0839 · arxiv_version: 1102.0839v1 · doi: 10.48550/arxiv.1102.0839 · pith_short_12: 2SXWZKPZDONN · pith_short_16: 2SXWZKPZDONNCPXG · pith_short_8: 2SXWZKPZ

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/2SXWZKPZDONNCPXGQRPKYLWU3E \
  | 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: d4af6ca9f91b9ad13ee6845eac2ed4d92beffb0a8284594d8260d3363e3c85af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c835df6e7b1eed0f4c6b62ea9817638586b5d8c22d1e914214a6214ba4590a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-04T06:02:52Z",
    "title_canon_sha256": "81ea7cf32dcc296d7bd9f255f55e478396da641e300639290c7b34081990ec19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0839",
    "kind": "arxiv",
    "version": 1
  }
}