Pith Number

pith:NVYII7EN

pith:2016:NVYII7ENM4NHGF2HKSZJ24BHCB

not attested not anchored not stored refs pending

Left-invariant Sub-Riemannian Engel structures: abnormal geodesics and integrability

Alexandr Medvedev, Ivan Beschastnyi

arxiv:1611.03634 v2 · 2016-11-11 · 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{NVYII7ENM4NHGF2HKSZJ24BHCB}

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	2026-05-18T00:17:02.071177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d70847c8d671a73174754b29d7027105a160ee7d4ad65a254de29129d39e081

Aliases

arxiv: 1611.03634 · arxiv_version: 1611.03634v2 · doi: 10.48550/arxiv.1611.03634 · pith_short_12: NVYII7ENM4NH · pith_short_16: NVYII7ENM4NHGF2H · pith_short_8: NVYII7EN

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/NVYII7ENM4NHGF2HKSZJ24BHCB \
  | 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: 6d70847c8d671a73174754b29d7027105a160ee7d4ad65a254de29129d39e081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb13b744a38ccf1930d95c9feebd11b814cc351597607c2c18f678fa6f9bea9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-11T09:44:03Z",
    "title_canon_sha256": "442d0d7af7144466ffa49cd8cde719b5cd809fa3429b850d637173f356d9b49c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03634",
    "kind": "arxiv",
    "version": 2
  }
}