Pith Number

pith:VJRJVIGB

pith:2017:VJRJVIGBX7OJU56FNOEKFL447T

not attested not anchored not stored refs pending

Length spectra of sub-Riemannian metrics on compact Lie groups

Andr\'as Domokos, Corey Shanbrom, Matthew Krauel, Michael VanValkenburgh, Vincent Pigno

arxiv:1704.04704 v2 · 2017-04-16 · 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{VJRJVIGBX7OJU56FNOEKFL447T}

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	2026-05-18T00:09:56.074346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa629aa0c1bfdc9a77c56b88a2af9cfcf48da8c1128bb95789b39035ad85a4f9

Aliases

arxiv: 1704.04704 · arxiv_version: 1704.04704v2 · doi: 10.48550/arxiv.1704.04704 · pith_short_12: VJRJVIGBX7OJ · pith_short_16: VJRJVIGBX7OJU56F · pith_short_8: VJRJVIGB

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/VJRJVIGBX7OJU56FNOEKFL447T \
  | 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: aa629aa0c1bfdc9a77c56b88a2af9cfcf48da8c1128bb95789b39035ad85a4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c461f2af91d489cc9732ed8afb51dfddd540d4ef44a31ce2eba4caa4c247609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-16T00:31:01Z",
    "title_canon_sha256": "a7c78f4f526207835d41485934bc8a2e8027f166e3230eaee88ab6020489bb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04704",
    "kind": "arxiv",
    "version": 2
  }
}