Pith Number

pith:JHXYTZW5

pith:2019:JHXYTZW5RMO2AKGLR7WPP5RR6R

not attested not anchored not stored refs pending

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups

Irina Zubareva, Valera Berestovskii

arxiv:1906.05511 v1 · 2019-06-13 · 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{JHXYTZW5RMO2AKGLR7WPP5RR6R}

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.

Cited by

1 paper in Pith

Steering a warp drive without exotic matter

Receipt and verification

First computed	2026-05-17T23:43:25.182619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ef89e6dd8b1da028cb8fecf7f631f47decb8aafbee3f5d5de68dfbe5065913

Aliases

arxiv: 1906.05511 · arxiv_version: 1906.05511v1 · doi: 10.48550/arxiv.1906.05511 · pith_short_12: JHXYTZW5RMO2 · pith_short_16: JHXYTZW5RMO2AKGL · pith_short_8: JHXYTZW5

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/JHXYTZW5RMO2AKGLR7WPP5RR6R \
  | 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: 49ef89e6dd8b1da028cb8fecf7f631f47decb8aafbee3f5d5de68dfbe5065913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba7e5f0802624386c151d9c982d9bf904156a0d07f9e1ed606eb62d7e776390a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-13T07:22:41Z",
    "title_canon_sha256": "e75cce484a5acb3953cc3ab1bb2cad2b891958d213c9b502fe869c99a05297e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05511",
    "kind": "arxiv",
    "version": 1
  }
}