Pith Number

pith:TMGQ4RXK

pith:2014:TMGQ4RXK5DWWJ4NWOGM7SNI2L5

not attested not anchored not stored refs pending

Dynamics of covering maps of the annulus I: semiconjugacies

Aldo Portela, Alvaro Rovella, Jorge Iglesias, Juliana Xavier

arxiv:1402.2317 v3 · 2014-02-10 · 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{TMGQ4RXK5DWWJ4NWOGM7SNI2L5}

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	2026-05-18T01:19:55.748699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0d0e46eae8ed64f1b67199f9351a5f52423a1a518bf57322e7a6749c6cef03

Aliases

arxiv: 1402.2317 · arxiv_version: 1402.2317v3 · doi: 10.48550/arxiv.1402.2317 · pith_short_12: TMGQ4RXK5DWW · pith_short_16: TMGQ4RXK5DWWJ4NW · pith_short_8: TMGQ4RXK

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/TMGQ4RXK5DWWJ4NWOGM7SNI2L5 \
  | 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: 9b0d0e46eae8ed64f1b67199f9351a5f52423a1a518bf57322e7a6749c6cef03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a396bc73c028437896400a7a9710d666675cce6956aa23988312d8820f1d8236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-10T22:13:01Z",
    "title_canon_sha256": "de35188a313f35b0807c8c7c2dada5a70604e98f38386e8d32d43572de91f363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2317",
    "kind": "arxiv",
    "version": 3
  }
}