Pith Number

pith:I5RYZNBW

pith:2017:I5RYZNBWFXTLAD7BYBY5HBPO2P

not attested not anchored not stored refs pending

The geodesic flow on nilmanifolds associated to graphs

Gabriela P. Ovando

arxiv:1708.09457 v2 · 2017-08-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5RYZNBWFXTLAD7BYBY5HBPO2P}

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	2026-05-17T23:44:49.714593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47638cb4362de6b00fe1c071d385eed3d75614bc27a13196efe9966667c15af9

Aliases

arxiv: 1708.09457 · arxiv_version: 1708.09457v2 · doi: 10.48550/arxiv.1708.09457 · pith_short_12: I5RYZNBWFXTL · pith_short_16: I5RYZNBWFXTLAD7B · pith_short_8: I5RYZNBW

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/I5RYZNBWFXTLAD7BYBY5HBPO2P \
  | 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: 47638cb4362de6b00fe1c071d385eed3d75614bc27a13196efe9966667c15af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a232a5bc4ce5a26325d053b66465a81b39198975ac3f681ed26cedd3f173b370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-30T20:25:37Z",
    "title_canon_sha256": "eb1d776b858bf9e72cffa66fec50edeb7b7f4cc390afba923566dd4322bb7ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09457",
    "kind": "arxiv",
    "version": 2
  }
}