Pith Number

pith:APRZNY6U

pith:2017:APRZNY6U4NXEVSQBE5OR7R4SF5

not attested not anchored not stored refs pending

On topological and measurable dynamics of unipotent frame flows for hyperbolic manifolds

Barbara Schapira (IRMAR), Fran\c{c}ois Maucourant (IRMAR)

arxiv:1702.01689 v2 · 2017-02-06 · 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{APRZNY6U4NXEVSQBE5OR7R4SF5}

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	2026-05-17T23:45:00.286259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e396e3d4e36e4aca01275d1fc7922f446ca6312f88f321b7bacb5708b8646c

Aliases

arxiv: 1702.01689 · arxiv_version: 1702.01689v2 · doi: 10.48550/arxiv.1702.01689 · pith_short_12: APRZNY6U4NXE · pith_short_16: APRZNY6U4NXEVSQB · pith_short_8: APRZNY6U

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/APRZNY6U4NXEVSQBE5OR7R4SF5 \
  | 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: 03e396e3d4e36e4aca01275d1fc7922f446ca6312f88f321b7bacb5708b8646c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa06de1ca719998fb8f09ec10228e29300beedca3e982a67b85bd1fc74d079e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-06T16:29:38Z",
    "title_canon_sha256": "a2b9ca586b3279add39a7259c93e0a6be8628a650e55de2264f9ea1553c8c07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01689",
    "kind": "arxiv",
    "version": 2
  }
}