Pith Number

pith:5UP2HMB3

pith:2015:5UP2HMB3GSFMTN3OB5GBZKRMTJ

not attested not anchored not stored refs pending

Almost-Riemannian Geometry on Lie Groups

Philippe Jouan (LMRS), Victor Ayala

arxiv:1503.03040 v2 · 2015-03-10 · math.DG · 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{5UP2HMB3GSFMTN3OB5GBZKRMTJ}

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	2026-05-18T01:28:25.828844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1fa3b03b348ac9b76e0f4c1caa2c9a6fa49c88f8f71ac26957be0dd10d0196

Aliases

arxiv: 1503.03040 · arxiv_version: 1503.03040v2 · doi: 10.48550/arxiv.1503.03040 · pith_short_12: 5UP2HMB3GSFM · pith_short_16: 5UP2HMB3GSFMTN3O · pith_short_8: 5UP2HMB3

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/5UP2HMB3GSFMTN3OB5GBZKRMTJ \
  | 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: ed1fa3b03b348ac9b76e0f4c1caa2c9a6fa49c88f8f71ac26957be0dd10d0196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98dbba180b475dc90b112cb4bc7e451b1e3de0ec5d790168ee75f56b18194cce",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-10T19:27:40Z",
    "title_canon_sha256": "40cea34a5ced98dbbb8ac9f46cd8e0a0448c35ddb3bfd7e88786d762e9432081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03040",
    "kind": "arxiv",
    "version": 2
  }
}