Pith Number

pith:FSE33C6U

pith:2015:FSE33C6UIZA2ZAEPQ4CO6MARDD

not attested not anchored not stored refs pending

Spectral properties of horocycle flows for surfaces of constant negative curvature

Rafael Tiedra de Aldecoa

arxiv:1506.06388 v2 · 2015-06-21 · math.DS · math-ph · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSE33C6UIZA2ZAEPQ4CO6MARDD}

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	2026-05-18T01:19:12.104088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c89bd8bd44641ac808f8704ef301118fa29b931a1faea55b27d5c2c162d6522

Aliases

arxiv: 1506.06388 · arxiv_version: 1506.06388v2 · doi: 10.48550/arxiv.1506.06388 · pith_short_12: FSE33C6UIZA2 · pith_short_16: FSE33C6UIZA2ZAEP · pith_short_8: FSE33C6U

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/FSE33C6UIZA2ZAEPQ4CO6MARDD \
  | 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: 2c89bd8bd44641ac808f8704ef301118fa29b931a1faea55b27d5c2c162d6522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ba01fccc4dd72fef4d47d95abb1633626ebb02731de9c018c8aeb82f18d83b",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-21T17:09:53Z",
    "title_canon_sha256": "3fcb78899cd64ebaaa7c19b6f8b4e3c47ce87a711af74522c977499575ae3660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06388",
    "kind": "arxiv",
    "version": 2
  }
}