Pith Number

pith:3GDXX36U

pith:2015:3GDXX36UGYHJTQK4HJHN3DJCJV

not attested not anchored not stored refs pending

The geodesic flow on nilmanifolds

Alejandro Kocsard, Gabriela P. Ovando, Silvio Reggiani

arxiv:1508.05286 v1 · 2015-08-21 · math.DG · 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{3GDXX36UGYHJTQK4HJHN3DJCJV}

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	2026-05-17T23:39:59.062651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9877befd4360e99c15c3a4edd8d224d4581b182a77cd44e8be72b0e0e790ba1

Aliases

arxiv: 1508.05286 · arxiv_version: 1508.05286v1 · doi: 10.48550/arxiv.1508.05286 · pith_short_12: 3GDXX36UGYHJ · pith_short_16: 3GDXX36UGYHJTQK4 · pith_short_8: 3GDXX36U

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/3GDXX36UGYHJTQK4HJHN3DJCJV \
  | 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: d9877befd4360e99c15c3a4edd8d224d4581b182a77cd44e8be72b0e0e790ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea571c0d4b9672564a82c01fe9cb187f8f876c5512ecaa03204d241011e2417",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-21T14:39:20Z",
    "title_canon_sha256": "d9b9217a86d9da84a030544f891e179fbc630887f65b39742b824bcabccf3afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05286",
    "kind": "arxiv",
    "version": 1
  }
}