Pith Number

pith:NGESP2QK

pith:2016:NGESP2QKFUGJ2VFI4BWMXCBRXJ

not attested not anchored not stored refs pending

Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)

Alexey Mashtakov, Andrei Ardentov, Yuri Sachkov

arxiv:1609.03704 v1 · 2016-09-13 · 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{NGESP2QKFUGJ2VFI4BWMXCBRXJ}

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	2026-05-18T00:47:10.731399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698927ea0a2d0c9d54a8e06ccb8831ba74d5197c79c5e44815db30a9edbbb1ac

Aliases

arxiv: 1609.03704 · arxiv_version: 1609.03704v1 · doi: 10.48550/arxiv.1609.03704 · pith_short_12: NGESP2QKFUGJ · pith_short_16: NGESP2QKFUGJ2VFI · pith_short_8: NGESP2QK

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/NGESP2QKFUGJ2VFI4BWMXCBRXJ \
  | 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: 698927ea0a2d0c9d54a8e06ccb8831ba74d5197c79c5e44815db30a9edbbb1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394a37210a91bb8d708e2e4df703a9540e7fb02aca834a228ba050e6397aeba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-13T07:09:06Z",
    "title_canon_sha256": "05d5b6c8562552d3a33afaac5f80873b471f1e7463bed6524f8d7856221d42f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03704",
    "kind": "arxiv",
    "version": 1
  }
}