Pith Number

pith:7GXEP72R

pith:2012:7GXEP72ROTRSEMH66I62VCCD7C

not attested not anchored not stored refs pending

On the geometry of horseshoes in higher dimensions

Carlos Gustavo Tamm de Araujo Moreira, Waliston Luiz Lopes Rodrigues Silva

arxiv:1210.2623 v1 · 2012-10-09 · 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{7GXEP72ROTRSEMH66I62VCCD7C}

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.

Cited by

1 paper in Pith

Stable minimality of expanding foliations

Receipt and verification

First computed	2026-05-18T03:43:41.085117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ae47ff5174e32230fef23daa8843f8b45861116826be588d7526b8fc742b51

Aliases

arxiv: 1210.2623 · arxiv_version: 1210.2623v1 · doi: 10.48550/arxiv.1210.2623 · pith_short_12: 7GXEP72ROTRS · pith_short_16: 7GXEP72ROTRSEMH6 · pith_short_8: 7GXEP72R

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/7GXEP72ROTRSEMH66I62VCCD7C \
  | 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: f9ae47ff5174e32230fef23daa8843f8b45861116826be588d7526b8fc742b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4102072ea9ed37c1e9e400c98f9b791118aa778c1fc8a4ab18a6a93a53e9434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-09T14:55:09Z",
    "title_canon_sha256": "70d841dbe7ed7eed761f756e1eb82281832a14099bd1a47f8730f94bb583adb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2623",
    "kind": "arxiv",
    "version": 1
  }
}