Pith Number

pith:KR65TZNY

pith:2014:KR65TZNYFDQJYH5FLAR5QCIRVH

not attested not anchored not stored refs pending

Sub-Riemannian structures on groups of diffeomorphisms

Emmanuel Tr\'elat (LJLL), Sylvain Arguillere (LJLL)

arxiv:1409.8378 v2 · 2014-09-30 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KR65TZNYFDQJYH5FLAR5QCIRVH}

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	2026-05-18T01:35:12.009134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547dd9e5b828e09c1fa55823d80911a9ca27d008388b4ccb748932a8be9f1e32

Aliases

arxiv: 1409.8378 · arxiv_version: 1409.8378v2 · doi: 10.48550/arxiv.1409.8378 · pith_short_12: KR65TZNYFDQJ · pith_short_16: KR65TZNYFDQJYH5F · pith_short_8: KR65TZNY

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/KR65TZNYFDQJYH5FLAR5QCIRVH \
  | 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: 547dd9e5b828e09c1fa55823d80911a9ca27d008388b4ccb748932a8be9f1e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed37314107fca6131461927013454489a9bfad23e998ce13c3bdae8324e0739a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-30T03:39:54Z",
    "title_canon_sha256": "2288ca6540df616a384ad6d448d5b0449ead60cfbcfa1c1dfacf96bc08b8232e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8378",
    "kind": "arxiv",
    "version": 2
  }
}