Pith Number

pith:N2QYPRYF

pith:2007:N2QYPRYFSP2QMPXFSN54RCUJBB

not attested not anchored not stored refs pending

Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem

Alberto Verjovsky, Matilde Mart\'inez, Shigenori Matsumoto

arxiv:0711.2307 v4 · 2007-11-14 · 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{N2QYPRYFSP2QMPXFSN54RCUJBB}

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	2026-05-18T01:21:41.027738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ea187c70593f5063ee5937bc88a8908455441c77cc20b521801bab574158cf5

Aliases

arxiv: 0711.2307 · arxiv_version: 0711.2307v4 · doi: 10.48550/arxiv.0711.2307 · pith_short_12: N2QYPRYFSP2Q · pith_short_16: N2QYPRYFSP2QMPXF · pith_short_8: N2QYPRYF

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/N2QYPRYFSP2QMPXFSN54RCUJBB \
  | 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: 6ea187c70593f5063ee5937bc88a8908455441c77cc20b521801bab574158cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dffc16a6542eb52b98c516186d99e3f367b4b02994b50fbad7ccd54d726f65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-14T21:45:22Z",
    "title_canon_sha256": "afddf55d7a01ec1f48be9c2343347353249bde11587f5c9525a9c32a8b2c64f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2307",
    "kind": "arxiv",
    "version": 4
  }
}