pith. sign in
Pith Number

pith:N7A7AAWL

pith:2014:N7A7AAWLOC5XB2F7RQU73FHA37
not attested not anchored not stored refs pending

Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits

Bernard Bonnard (McTAO, Helen Henninger (McTAO), IMB), Jana Nemcova, Jean-Baptiste Pomet (McTAO)

arxiv:1405.6680 v4 · 2014-05-26 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N7A7AAWLOC5XB2F7RQU73FHA37}

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 2026-05-18T01:34:55.474558Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6fc1f002cb70bb70e8bf8c29fd94e0dfeb549acce06d53c105146b66aa45bb27

Aliases

arxiv: 1405.6680 · arxiv_version: 1405.6680v4 · doi: 10.48550/arxiv.1405.6680 · pith_short_12: N7A7AAWLOC5X · pith_short_16: N7A7AAWLOC5XB2F7 · pith_short_8: N7A7AAWL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N7A7AAWLOC5XB2F7RQU73FHA37 \
  | 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: 6fc1f002cb70bb70e8bf8c29fd94e0dfeb549acce06d53c105146b66aa45bb27
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f202889354d51c3fa4e03cf747ad16a8fdfd76d05dfa00cc6a581ae48db377f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-05-26T18:49:02Z",
    "title_canon_sha256": "4cafea3bc22876e5e702c4867ca036d15f357b9ec0c5f1b528de7b9ab401e686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6680",
    "kind": "arxiv",
    "version": 4
  }
}